solve this !!!!

Question

Solve for x.

|x/10|−4<5

Give your answer as an interval.

Answer 1

| x / 10 | < 9

Assuming x / 10 ≥ 0

x / 10 < 9

x < 90

Assuming x / 10 < 0

-(x / 10) < 9

x / 10 > -9

x > -90

Can you put into interval notation and answer?

Answer 2

First isolate the absolute value by adding 4 to both sides.

Now we have abs(x/10) < 9.

Next remove absolute value sign and write as a conjunction.

-9 < (x/10) < 9.

Next multiply by 10 to get -90 < x < 90.

In interval notation the answer is (-90,90).