Answer:
The inequality can be solved by isolating the variable x on one side of the inequality. To do this, we can first add 4x to both sides of the inequality:
-2 ≤ 4x + 3 ≤ 4
Next, we can subtract 3 from both sides of the inequality:
-5 ≤ 4x ≤ 1
Finally, we can divide both sides of the inequality by 4 to solve for x:
x ≥ -5/4 and x ≤ 1/4
So the solution of the compound inequality is x ≥ -5/4 and x ≤ 1/4
We can also express this solution in interval notation: [-5/4, 1/4]
Note that the compound inequality has two separate inequality signs, indicating that the solution is the set of all x-values that make both inequalities true.
Explanation: