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Verified Answer :

 4p + 1 > - 11

4p > - 12

p > -3

6p + 3 > 39


6p > 36

p > 6

Answer:

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

Step-by-step 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 (-∞,∞)

View image lisboa