Question

Can someone please help me I don’t get this

Answer 1

D. x > -3 and x < 1

Explanation:

There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.

First, we will isolate the absolute value by dividing by 3:

3|x + 1| < 6

|x + 1| < 2

Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:

-|2| < x + 1 < |2|

-2 < x + 1 < 2

and solve.

-3 < x < 1

(this can also be written as x > -3 and x < 1)