Question

What is the solution to this inequality?

-2x-3 ≥ 6 or 3(x-4) < -6
OA. * > - 2/1
OB.
Oc. or x > 2
C.
OD.
-/<< 2
x
<2
-

Answer 1

To solve the inequality -2x-3 ≥ 6 or 3(x-4) < -6, solve each part separately and then combine the solutions. The solution is x < 2 or x ≥ 4.5.

Step-by-step explanation:

To solve the inequality -2x-3 ≥ 6 or 3(x-4) < -6, we will solve each part separately and then combine the solutions. First, let's solve -2x-3 ≥ 6:

Subtracting 3 from both sides, we have -2x ≥ 9. Dividing both sides by -2 (and flipping the inequality sign since we're dividing by a negative number), we get x ≤ -9/2 or x ≥ 4.5.

Next, let's solve 3(x-4) < -6:

Dividing both sides by 3, we have x - 4 < -2. Adding 4 to both sides, we get x < 2.

Combining the solutions, we have x ≤ -9/2 or x ≥ 4.5, and x < 2. So, the solution to the inequality is x < 2 or x ≥ 4.5.