Question

Please solve |4c+5| > 7

Answer 1

see explanation

Explanation:

Inequalities of the type | x | > a, always have solutions of the form

x < - a or x > a

Thus

4c + 5 < - 7 OR 4c + 5 > 7 ← solve each inequality

4c + 5 < - 7 ( subtract 5 from both sides )

4c < - 12 ( divide both sides by 4 )

c < - 3

OR

4c + 5 > 7 ( subtract 5 from both sides )

4c > 2 ( divide both sides by 4 )

c >
`(1)/(2)`

Solution is x < - 3 or x >
`(1)/(2)`