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