Absolute Value Inequalities Answers

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

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?

Which compound inequality is equivalent to the absolute value inequality ?

What is another way to write the absolute value inequality ?

A student showed the steps below while solving the inequality by graphing.Step 1:Write a system of equations: Step 2: Graph the two equations:Step 3:Identify the values of x for which :x = 3 or x = 5Step 4:Write the solution in interval notation:What is the first step in which the student made an error?

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

A student found the solution below for the given inequality.Which of the following explains whether the student is correct?

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

Which of the following represents the solution to the inequality ?

Which inequality is equivalent to ?