Respuesta :
Answer: x > 5
Explanation: First we want to look at our variable and ask ourselves what's happening to it. Since 2 is being subtracted from 9x, we always undo addition and subtraction first so we add 2 to both sides.
That gives us 9x > 45.
Now we need to undo multiplication and division. Since 9 is being multiplied by x, to get x by itself, we need to divide by 9 on the left side of the inequality. If we divide by 9 on the left side, we must also divide by 9 on the right side.
This leaves us with x > 5 which is the solution to this inequality.
Steps to solve:
9x - 2 > 43
~Add 2 to both sides
9x - 2 + 2 > 43 + 2
~Simplify
9x > 45
~Divide 9 to both sides
9x/9 > 45/9
~Simplify
x > 5
Best of Luck!