Question

What is the solutions of the inequality? 12x - 3x + 11 > 4x - ( 17 - 9x)

Answer 1

12x-3x+11> 4x-(17-9x)

1. simplify both sides by combining like terms

(12x-3x)+11>4x-17+9x (when you distribute the negative it turnis -9x to +9x)

2. combine like terms

9x+11>13x-17

3. now get the x alone on one side

9x+11>13x-17

+17 +17

9x(-9x)+28> 13x(-9x)

28/4>4x/4

7>x or x<7

Answer 2

Hello,
For this 12x-3x+11>4x-(17-9x)let's rewrite it as:
12x-3x+11>4x-17+9x
Now combine like terms:
9x+11>13x-17
Subtract 9x and add 17 to get:

28>4x
Divide by 4:
7>x or rewritten as:
x<7
Make sense?