Absolute Value Inequalities Answers

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality represents this situation. If the compound inequality and also represents this situation, what is the value of x in the compound inequality?

Contessa is solving an absolute value inequality. She writes the compound inequality as her first step. Which inequality is Contessa solving?

Which compound inequality is equivalent to the absolute value inequality ?

Which compound inequality can be used to solve the inequality ?

What is the solution to the inequality ?

Aaron solved an inequality and then graphed the solution as shown below. Which inequality did Aaron solve?

Which inequality is equivalent to ?

Which of the following represents the solution to the inequality ?

What is another way to write the absolute value inequality ?

Which compound inequality is equivalent to for all real numbers a, b, and c, where ?