Solve the compound inequality. Express the solution using interval notation. Graph the solution set.
-

Question

Quizplus · Accepted Answer

The compound inequality is:

-4 ≤ 2x + 3 < 5

We can solve it by subtracting 3 from all sides:

-7 ≤ 2x < 2

Then we divide by 2, remembering to reverse the inequality signs because we're dividing by a negative number:

-3.5 ≥ x > 1

Or, in interval notation:

(-∞, 1) \cup [-3.5, ∞)

The graph would be a number line with an open circle at x=1 and a closed circle at x=-3.5, with shading to the left of 1 and to the right of -3.5.

Solve the Compound Inequality