Question

What is the answer to 8 and 9 please help thank you

Answer 1

2|x-5|<16 has several integer solutions.  What are they?

First, div. both sides by 2, obtaining  |x-5| < 8.

One way to solve this would be to add 5 to both sides:  |x| < 13.

This inequality has several integer soltuions.  One such solution is 12.  Notice how |12| < 13 is true.  Another solution is -12.  Show that this is true.

Then the solution set is {-12, -11, -10, .............. , 11, 12}