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# Solutions for Chapter 2.7: Nonlinear Inequalities

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 2.7: Nonlinear Inequalities

Solutions for Chapter 2.7
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##### ISBN: 9780618643448

Since 90 problems in chapter 2.7: Nonlinear Inequalities have been answered, more than 11829 students have viewed full step-by-step solutions from this chapter. Chapter 2.7: Nonlinear Inequalities includes 90 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Combination

An arrangement of elements of a set, in which order is not important

• Compounded annually

See Compounded k times per year.

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Divergence

A sequence or series diverges if it does not converge

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Nonsingular matrix

A square matrix with nonzero determinant

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Period

See Periodic function.

• Phase shift

See Sinusoid.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Proportional

See Power function

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Slope-intercept form (of a line)

y = mx + b

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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