Question

Which values are in the solution set of the compound inequality? Select two options. 4(x + 3) ≤ 0 or x+1>3 answer choices: –6 –3 0 3 8

Answer 1

Answer:

-6, -3

3, 8

Step-by-step explanation:

In order to find the number that are solutions to the compound inequalities, you first solve fr x on each inequality.

First inequality:

$4(x+3)\leq 0\\\\4x+12\leq0\\\\4x\leq-12\\\\x\leq-3$  interval = (-∞ , -3]

Second inequality:

$x+1>3\\\\x>2$   interval = (2 , ∞)

The interval solution is (-∞ , -3] U (2 , ∞)

The number that are included in the previous interval are:

-6, -3

or

3, 8