Absolute Value Inequalities — Quiz Answers

What is another way to write the absolute value inequality absolute value of p is less than or equal to 12 ?

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 start absolute value 31 minus s end absolute value is less than or equal to 8 represents this situation. If the compound inequality negative x is less than or equal to 31 minus s and x is greater than or equal to 31 minus s also represents this situation, what is the value of x in the compound inequality?

The solution to an absolute value inequality is shown on the graph. Open image in full-screen view What is another way to show the solution?

Which compound inequality is equivalent to the absolute value inequality absolute value of b is greater than 6 ?

Which compound inequality can be used to solve the inequality start absolute value 3 x plus 2 end absolute value is greater than 7 ?

Amber is solving the inequality start absolute value x plus 6 end absolute value minus 12 is less than 13 by graphing. Which equations should Amber graph?

Contessa is solving an absolute value inequality. She writes the compound inequality negative 7 is less than or equal to 8 minus 3 q comma 8 minus 3 q is less than or equal to 7 as her first step. Which inequality is Contessa solving?

Which compound inequality is equivalent to start absolute value A x minus b end absolute value is greater than c for all real numbers A , b , and c , where c is greater than or equal to 0 ?

What is the solution to the inequality start absolute value x minus 4 end absolute value is less than 3 ?

Which inequality is equivalent to start absolute value x minus 4 end absolute value is less than 9 ?