Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 13, solve for x. -7 < 2x - 3 < 7

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 13, solve for x. \(5 x-2 \geq 7 x+4\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 13, solve for x. |x + 2| = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 46, factor the expression completely. \(4 x^{2}-9\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 46, factor the expression completely. \(x^{3}-4 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 46, factor the expression completely. \(9 x^{2}-16 y^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, reduce the fraction to lowest terms. \(\frac{z^{2}-25}{z^{2}-5 z}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, reduce the fraction to lowest terms. \(\frac{x^{2}+2 x-35}{x^{2}-10 x+25}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, add the fractions and simplify. \(\frac{x}{x-1}+\frac{x+1}{3 x-4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, add the fractions and simplify. \(\frac{2 x-1}{x^{2}-x-2}+\frac{x-3}{x^{2}-3 x+2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. \(|x+4| \geq 5\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. |2x - 1| > 3.6

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. |x - 3| < 2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. \(|x+3| \leq 5\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. |4 - 3x| - 2 < 4

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. |3 - 2x| + 2 > 5

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. \(\left|\frac{x+2}{3}\right| \geq 3\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, solve the inequality algebraically. Write the solution in interval notation and draw its number line graph. \(\left|\frac{x-5}{4}\right| \leq 6\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(2 x^{2}+17 x+21 \leq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(6 x^{2}-13 x+6 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(2 x^{2}+7 x>15\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(4 x^{2}+2<9 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(2-5 x-3 x^{2}<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(21+4 x-x^{2}>0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(x^{3}-x \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 916, solve the inequality. Use algebra to solve the corresponding equation. \(x^{3}-x^{2}-30 x \leq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(x^{2}-4 x<1\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(12 x^{2}-25 x+12 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(6 x^{2}-5 x-4>0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(4 x^{2}-1 \leq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(9 x^{2}+12 x-1 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(4 x^{2}-12 x+7<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(4 x^{2}+1>4 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(x^{2}+9 \leq 6 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(x^{2}-8 x+16<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1726, solve the inequality graphically. \(9 x^{2}+12 x+4 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, solve the cubic inequality graphically. \(3 x^{3}-12 x+2 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, solve the cubic inequality graphically. \(8 x-2 x^{3}-1<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, solve the cubic inequality graphically. \(2 x^{3}+2 x>5\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, solve the cubic inequality graphically. \(4 \leq 2 x^{3}+8 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Give an example of a quadratic inequality with the indicated solution. (a) All real numbers (b) No solution (c) Exactly one solution (d) [-2, 5] (e) \((-\infty,-1) \cup(4, \infty)\) (f) \((-\infty, 0] \cup[4, \infty)\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Solve the inequality \(-16 t^{2}+288 t \geq 1152\) algebraically and compare your answer with the result obtained in Example 10.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
A projectile is launched straight up from ground level with an initial velocity of 256 ft/sec. (a) When will the projectiles height above ground be 768 ft? (b) When will the projectiles height above ground be at least 768 ft? (c) When will the projectiles height above ground be less than

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Projectile Motion A projectile is launched straight up from ground level with an initial velocity of 272 ft/sec. (a) When will the projectile's height above ground be 960 ft? (b) When will the projectile's height above ground be more than 960 ft? (c) When will the projectile's height a

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Explain the role of equation solving in the process of solving an inequality. Give an example.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Barb wants to drive to a city 105 mi from her home in no more than 2 h. What is the lowest average speed she must maintain on the drive?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Consider the collection of all rectangles that have length 2 in. less than twice their width. (a) Find the possible widths (in inches) of these rectangles if their perimeters are less than 200 in. (b) Find the possible widths (in inches) of these rectangles if their areas are less than or e

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Boyle's Law For a certain gas, P = 400/V, where P is pressure and V is volume. If \(20 \leq V \leq 40\), what is the corresponding range for P?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Cash-Flow Planning A company has current assets (cash, property, inventory, and accounts receivable) of $200,000 and current liabilities (taxes, loans, and accounts payable) of $50,000. How much can it borrow if it wants its ratio of assets to liabilities to be no less than 2? Assume the amount

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False The absolute value inequality |x - a| < b, where a and b are real numbers, always has at least one solution. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False Every real number is a solution of the absolute value inequality \(|x-a| \geq 0\), where a is a real number. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4245, solve these problems without using a calculator. Multiple Choice Which of the following is the solution to |x - 2| < 3? (A) x = -1 or x = 5 (B) [-1, 5) (C) [-1, 5] (D) All real numbers (E) There is no solution.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4245, solve these problems without using a calculator. Multiple Choice Which of the following is the solution to \(x^{2}-2 x+2 \geq 0\)? (A) [0, 2] (B) \((-\infty, 0) \cup(2, \infty)\) (C) \((-\infty, 0] \cup[2, \infty)\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4245, solve these problems without using a calculator. Multiple Choice Which of the following is the solution to \(x^{2}>x\)? (A) \((-\infty, 0) \cup(1, \infty)\) (B) \((-\infty, 0] \cup[1, \infty))\) (C) \((1, \infty)\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4245, solve these problems without using a calculator. Multiple Choice Which of the following is the solution to \(x^{2} \leq 1\)? (A) \((-\infty, 1]\) (B) (-1, 1) (C) \([1, \infty)\) (D) [-1, 1] (E) There is no solution.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Constructing a Box with No Top An open box is formed by cutting squares from the corners of a regular piece of cardboard (see figure) and folding up the flaps. (a) What size corner squares should be cut to yield a box with a volume of \(125 \text { in. }^{3}\)? (b) What size corner square

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 47 and 48, use a combination of algebraic and graphical techniques to solve the inequalities. \(\left|2 x^{2}+7 x-15\right|<10\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 47 and 48, use a combination of algebraic and graphical techniques to solve the inequalities. \(\left|2 x^{2}+3 x-20\right| \geq 10\)