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Solve the inequality: -3x + 4 > 2.

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Question: Solve the inequality: -3x + 4 > 2.

Options:

  1. x < 2/3
  2. x > 2/3
  3. x ≤ 2/3
  4. x ≥ 2/3

Correct Answer: x > 2/3

Solution:

Step 1: Subtract 4 from both sides: -3x > -2. Step 2: Divide by -3 (reverse the inequality): x < 2/3.

Solve the inequality: -3x + 4 > 2.

Practice Questions

Q1
Solve the inequality: -3x + 4 > 2.
  1. x < 2/3
  2. x > 2/3
  3. x ≤ 2/3
  4. x ≥ 2/3

Questions & Step-by-Step Solutions

Solve the inequality: -3x + 4 > 2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including the rule of reversing the inequality sign when dividing by a negative number.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, multiplication, and division on both sides of an inequality.
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