91Ó°ÊÓ

Solve each inequality. Then graph it on a number line.

$\mathit{y}\mathbf{+}\mathbf{1}\mathbf{≤}\mathbf{8}$

Solve each inequality. Check your solution.

$\frac{w}{6}>−3$

A bus can hold 44 people. If there are 35 students in Samantha’s class, how many more people can ride on the bus?

Record your answers on a sheet of paper. Show your work.

Theresa is saving money for a vacation. She needs to save at least $\backslash (640$ to pay for her expenses. Each week, she puts 19 $\backslash )35$towards her vacation savings.

a. Let role="math" localid="1647838507456" $\mathit{w}$represent the number of weeks Theresa saves money. Write an inequality to model the situation.

b. Solve the inequality from part a. What is the minimum number of weeks Theresa must save money to reach her goal?

c. If Theresa were to save$\$45$ each week instead, by how many weeks would the minimum savings time be decreased?

Solve each inequality. Check your solution.

$\frac{k}{7}<−2$

Write a compound inequality for the graph shown below.

F $\mathbf{−}\mathbf{2}\mathbf{≤}\mathit{x}\mathbf{<}\mathbf{3}$

G $\mathit{x}\mathbf{≤}\mathbf{−}\mathbf{2}$or $\mathit{x}\mathbf{â‰\yen }\mathbf{3}$

H $\mathit{x}\mathbf{<}\mathbf{−}\mathbf{2}$or $\mathit{x}\mathbf{â‰\yen }\mathbf{3}$

J $\mathbf{−}\mathbf{2}\mathbf{<}\mathit{x}\mathbf{≤}\mathbf{3}$

The world’s heaviest flying bird is the great bustard. A male bustard can be up to 4 feet long and weigh up to 40 pounds.

1. Write inequalities to describe the ranges of lengths and weights of male bustards.
2. Male bustards are usually about four times as heavy females. Write and solve an inequality that describes the range of weights of female bustards.

Solve each inequality. Check your solution.$\frac{\mathbf{1}}{\mathbf{3}}\mathit{x}\mathbf{>}\mathbf{6}$

Solve each inequality. Then graph the solution set.

$\mathbf{|}\mathbf{p}\mathbf{−}\mathbf{5}\mathbf{|}\mathbf{<}\mathbf{3}$

Solve each inequality. Check your solution.

$\frac{1}{5}gâ‰\yen −4$