Critique the reasoning of others. Paige incorrectly solved an absolute value equation as shown below. −2 |x+5|=8
−2(x+5)=8 or −2(x+5)=−8
−2x−10=8 or −2x−10=−8x=−9 or x=−1
a. What mistake did Paige make?
b. How could Paige have determined that her solutions are incorrect?
c. Solve the equation correctly. Explain your steps.
Explain how to write the inequality |5x − 6| ≥ 9 without using an absolute value expression.