#1**+5 **

First, let's simplify it:

|5a + 2| < 9

For an absolute value inequality, you split it into two - one is positive and the other is negative. (Remember to flip the sign in the negative one!)

5a + 2 < 9

&

5a + 2 > -9

For the first one:

5a < 7

a < 7/5

For the second one:

5a > -11

a > -11/5

Thus we have our range: -11/5 < a < 7/5

Therefore, in interval notation, our answer is (-11/5, 7/5).

⚡⚡⚡

ShockFish

ShockFish Jan 30, 2022