Question

Solve the inequalities;

1. |4x + 5| + 2 ≥ 10


2. |2x + 3| + 6 > 0

Answer 1

Number two: x > -9/2, x < 3/2

Number one: x is less than or equal to 3/4, x is greater than or equal to - 13/4

Explanation:

Number one:

|4x+5| > 10-2

|4x+5| > 8

4x+5 > 8

-(4x+5) > 8

x > 3/4

x < -13/4

x > 3/4, x < -13/4

(all of these signs are greater than or equal to and less than or equal to)

Number two:

|2x+3| > -6

2x+3 > -6

-(2x+3) > -6

x > -9/2

x < 3/2

x> -9/2, x < 3/2

(all of these signs are correct and not greater than or equal to or less than or equal to)