218k views
1 vote
Solve the inequality -6(6x-12)<36(2-x)

User XCarb
by
8.1k points

2 Answers

5 votes

Answer:

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.

User Pravin Junnarkar
by
8.0k points
4 votes

Answer:

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.

User Todor Todorov
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories