Solve the inequality |6x + 2| < 10 and graph its solution.

This is a modulus inequality.

First part: when (6x + 2) is positive

6x + 2 < 10

6x < 10 - 2

6x < 8

x < 8/6

x < 4/3

Second part: when (6x + 2) is negative.

- (6x + 2) < 10 Divide both sides of inequality by - 1 and change the sign.

(6x + 2) > - 10

6x + 2 > - 10

6x > - 10 - 2

6x > - 12 Divide both sides by 6.

x > - 12/6

x > - 2.

Combined solution: x - 2

-2 < x < 4/3.

Graph is a line on the number line between - 2 and 4/3.

-2 and 4/3 are excluded from solution.