Solve the inequality. 7 - 9x > 4 - 11x

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