Question

What is the solution of the inequality -6x-17>8x+25?

A. X>3
B. X<3
C. X>-3
D. X<-3

Answer 1

Add 17 to both sides.

Answer 2

-6x - 17 > 8x + 25 (you want to get the x's on one side and everything else on the other side)
-6x - 8x - 17 > 8x - 8x + 25 (I subtracted 8x from both sides so it cancels out on the right side)
- 14x - 17 > 25 (now I want to move the 17 to the right side to get the x by itself)
-14x - 17 + 17 > 25 + 17 (I added 17 to both sides to cancel out the 17 on the left side)
-14x > 25 + 17
-14x > 42 (now you have to divide by -14 to get x by itself...remember dividing by a negative it changes the inequality sign.)
-14x/-14 < 42/-14
x < - 3 ------> Your answer D