Solve the compound inequality. Graph the solutions.

Question

negative 1
less than3pminus4less than or equals11
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Part 1
The solutions are given by enter your response here
.
​(Type an inequality or a compound inequality. Simplify your​ answer.)

Answer 1

-1 < 3p - 4 ≤ 11

Adding 4 to all sides of the inequality:

-1 + 4 < 3p - 4 + 4 ≤ 11 + 4

3 < 3p ≤ 15

Dividing all sides of the inequality by 3:

3/3 < 3p/3 ≤ 15/3

1 < p ≤ 5

The solutions are: 1 < p ≤ 5