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?

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 ?

Amber is solving the inequality by graphing. Which equations should Amber graph?

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

What is the solution, if any, to the inequality ?

The solution to an absolute value inequality is shown on the graph below.What is another way to show the solution?

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

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

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?

What is the solution to the inequality ?

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

On any given day, the number of users, u, that access a certain website can be represented by the inequality . Which of the following represents the range of users that access the website each day?

Which compound inequality can be used to solve the inequality ?