Question

What is the solution to the following inequality?

3(2x + 6) < -6
a) x > -4
b) x < -4
c) x = -4
d) x ≥ -4

Answer 1

The solution to the inequality 3(2x + 6) < -6 is x < -4. To solve the inequality, divide both sides by 3, subtract 6 from both sides, and divide by 2.

Step-by-step explanation:

The solution to the inequality 3(2x + 6) < -6 is x < -4. To find this solution, we solve the inequality by dividing both sides by 3. This gives us 2x + 6 < -2. Next, we subtract 6 from both sides to isolate the variable. This gives us 2x < -8. Finally, we divide both sides by 2 to solve for x, resulting in x < -4.