Question

What is the solution to the inequality below?

14 – 2(x+1) <-4
O A. x<9
O B. x<6
O c. x>11
O D. x>8

Answer 1

D) x > 8

Explanation:

14 -2(x + 1) < -4 <== distribute -2

14 -2(x) + -2(1) < -4

14 -2x - 2 < -4 <== combine like terms

12 - 2x < -4 <== subtract 12 from both sides

-12 -12

-2x < -16 <== divide both sides by -2

/-2 /-2

x > 8

Note: when dividing both sides of an inequality with a negative sign, the sign changes (flips).

Hope this helps!