To make the inequality true, the value of x will be greater than -1.5.
7 - 9x > 4 - 11x
We can treat this like a normal algebraic equation.
Add 11x to both sides.
7 + 2x > 4
Subtract 7 from both sides.
2x > -3
Divide both sides by 2.
x = -1.5
We can plug this value in, and both equations should be equal.
7 - 9(-1.5) = 4 - 11(-1.5)
7 + 13.5 = 4 + 16.5
20.5 = 20.5
The value of x stands.
If we use a value of 2 for x, the expression on the left will be greater than the expression on the right.
7 - 9(2) > 4 - 11(2)
7 - 18 > 4 - 22
-11 > -18
