Question

Solve for x. |4x - 5| > 7

Answer 1

Answer:

x>3

Step-by-step explanation:

|4x-5|>7

4x -5>7

4x >7+5

4x /4>12/4

x >3

solution set={4,5,6,---}

Answer 2

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a have solutions in the form

x < - a OR x > a thus

4x - 5 < - 7 ( add 5 to both sides )

4x < - 2 ( divide both sides by 4 )

x < - $\frac{1}{2}$

OR

4x - 5 > 7 ( add 5 to both sides )

4x > 12 ( divide both sides by 4 )

x > 3

Solution is x < - $\frac{1}{2}$ or x > 3

This can be expressed in interval notation as

(- ∞, - $\frac{1}{2}$ ) u (3, ∞ )