Question

Solve the inequality -6(6x-12)<36(2-x)

Answer 1

no solution

Explanation:

-6(6x-12)<36(2-x)

-36x + 72 < 72 - 36x I distributed

move variables to one side, constants on the other

add -36x to both sides

72 < 72

-72 -72

0 < 0

there is no solution.

Answer 2

x = no solution

General Formulas and Concepts:

Algebra I

• Equality Properties

Explanation:

Step 1: Define inequality

-6(6x - 12) < 36(2 - x)

Step 2: Solve for x

1. Distribute: -36x + 72 < 72 - 36x
2. Subtract 72 on both sides: -36x < -36x
3. Divide -36 on both sides: x < x

Here we see that that x would have to be smaller than itself. Since there is no possible number for this, x would be no solution.