Question

How do i solve the inequality & put it on a number line.|3x + 11 > 2

Answer 1

here's how you solve it

|3x+11| > 2

apply the absolute rule so you get two equations

3x+11 < -2                                    3x+11 > 2

in both equations subtract 11 from both sides

11-11 = 0    -2-11 = -13            11-11 = 0      2-11 = -9

this leaves you with

3x < -13                                        3x > -9

in both equations divide 3 on both sides

3x/3 = x     -13/3                   3x/3= x      -9/3 = -3

and in the end you get

x < -13/3  or x > -3