Question

Which of the following is the correct graph of the compound inequality 4p+1>-7 or 6p+3 <33?

Answer 1

you have to solve it separately since you are to find the 2 values of p
1)4p+1>-7
4p>-7-1
4p>-8
=p>-2

2)6p+3<33
6p<33-3
6p<30
=p<5
therefore p>-2 or p<5

Answer 2

set of all real numbers (-∞,∞)

Explanation:

Solve each inequality

`4p+1>-7`

Subtract 1 from both sides

`4p>-8`

Divide by 4 on both sides

`p>-2`

`6p+3 <33`

Subtract 3 from both sides

`6p<30`

Divide both sides by 6

`p<5`

`p>-2` or
`p<5`

The graph is attached below