Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

Answer 1

** 4p + 1 > - 11

4p > - 12

p > -3

** 6p + 3 > 39

6p > 36

p > 6

Answer 2

The graph is attached below. Solution is (-∞,∞)

Explanation:

`p + 1 > -11 \ or \ 6p + 3 < 39`

Solve each inequality

`p + 1 > -11`, Subtract 1 from both sides

`p> -12`

`6p + 3 < 39`

Subtract 3 from both sides

`6p< 36`

Divide both sides by 6

`p< 6`

Solution for this compound inequality is

`p> -12` or
`p< 6`

The graph is attached below. Solution is (-∞,∞)