Graph the solution set of each compound inequality

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

BIKES The recommended air pressure for the tires of a mountain bike is at least 35 pounds per square inch (psi), but no more than 80 pounds per square inch. If a bikes tires have 24 pounds per square inch, what increase in air pressure is needed so the tires are in the recommended range?

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Graph the solution set of each compound inequality.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

ANALYZE TABLES The Fujita Scale (F-scale) is the official classification system for tornado damage. One factor used to classify a tornado is wind speed. Use the information in the table to write an inequality for the range of wind speeds of an F3 tornado.

BIOLOGY Each type of fish thrives in a specific range of temperatures. The optimum temperatures for sharks range from 18C to 22C, inclusive. Write an inequality to represent temperatures where sharks will not thrive. (Hint: The word inclusive means that 18C and 22C are included in the optimum temperature range.)

Write a compound inequality for each graph.

Write a compound inequality for each graph.

Write a compound inequality for each graph.

Write a compound inequality for each graph.

Write a compound inequality for each graph.

Write a compound inequality for each graph.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

Solve each compound inequality. Then graph the solution set.

HEALTH About 20% of the time you sleep is spent in rapid eye movement (REM) sleep, which is associated with dreaming. If an adult sleeps 7 to 8 hours, how much time is spent in REM sleep?

FUND-RAISING Rashid is selling potted flowers for his schools fund-raiser. He can earn prizes depending on how much he sells. So far, he has sold $70 worth of flowers. How much more does he need to sell to earn a prize in category D?

Define a variable, write an inequality, and solve each problem. Then check your solution.

Define a variable, write an inequality, and solve each problem. Then check your solution.

Define a variable, write an inequality, and solve each problem. Then check your solution.

Define a variable, write an inequality, and solve each problem. Then check your solution.

HEARING For Exercises 4244, use the table.

HEARING For Exercises 4244, use the table.

HEARING For Exercises 4244, use the table.

RESEARCH Use the Internet or other resource to find the altitudes in miles of the layers of Earths atmosphere, troposphere, stratosphere, mesosphere, thermosphere, and exosphere. Write inequalities for the range of altitudes for each layer.

In Lesson 6-3, you learned how to use a graphing calculator to find the values of x that make a given inequality true. You can also use this method to test compound inequalities. The words and and or can be found in the LOGIC submenu of the TEST menu of a TI-83/84 Plus. Use this method to solve each of the following compound inequalities using your graphing calculator. a. x + 4 < -2 or x + 4 > 3 b. x - 3 5 and x + 6 4

OPEN ENDED Create an example of a compound inequality containing and that has no solution.

REASONING Formulate a compound inequality to represent $7 is less than t, which is less than $12. Interpret what the solution means.

CHALLENGE Select compound inequalities that represent the values of x which make the following expressions false. a. x < 5 or x > 8 b. x 6 and x 1

Writing in Math Use the information about the roller coaster on page 315 to explain how compound inequalities can be used to describe weight restrictions at amusement parks. Include a compound inequality describing a possible height restriction for riders of the roller coaster. Describe what this represents.

REVIEW Ten pounds of fresh tomatoes make about 15 cups of cooked tomatoes. How many cups does one pound of tomatoes make? A 1 _1 2 cups B 5 cups C 3 cups D 4 cups

What is the solution set of the inequality -7 < x + 2 < 4? F -5 < x < 6 G -9 < x < 2 H -5 < x < 2 J -9 < x < 6

REVIEW The scatterplot below shows the number of hay bales used by the Crosley farm during the last year. Which is an invalid conclusion? A The Crosleys used less hay in the summer than they did in the winter. B The Crosleys used a total of 629 bales of hay. C The Crosleys used about 52 bales each month. D The Crosleys used the most hay in February.

MONEY In the summer, Richard earns $200 per month at his part-time job at a restaurant, plus an average of $18 for each lawn that he mows. If his goal is to earn at least $280 this month, how many lawns will he have to mow?

Solve each inequality. Check your solution.

Solve each inequality. Check your solution.

Solve each inequality. Check your solution.

Solve each inequality. Check your solution.

Solve. Assume that y varies directly as x.

Solve. Assume that y varies directly as x.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.

PREREQUISITE SKILL Solve each equation.