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Plz help me solve this inequality! I’m timed!

Plz help me solve this inequality! I’m timed!-example-1

1 Answer

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Answer:

y > 1

General Formulas and Concepts:

Pre-Algebra

  • Equality Properties

Explanation:

Step 1: Define inequality

3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y

Step 2: Solve for y

  1. Distribute: 3y - 6 + 12 - 8y < 18y - 6 - 11y
  2. Combine like terms: -5y + 6 < 7y - 6
  3. Add 5y to both sides: 6 < 12y - 6
  4. Add 6 to both sides: 12 < 12y
  5. Isolate y: 1 < y
  6. Rewrite: y > 1

Here we see that any number y greater than 1 would work as a solution.

User Igor Zelmanovich
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