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Solve the inequality: -3x + 7 ≤ 1.

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Question: Solve the inequality: -3x + 7 ≤ 1.

Options:

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

Correct Answer: x ≤ 2

Solution: 

Step 1: Subtract 7 from both sides: -3x ≤ -6. Step 2: Divide by -3 (reverse the inequality): x ≥ 2.

Solve the inequality: -3x + 7 ≤ 1.

Practice Questions

Q1
Solve the inequality: -3x + 7 ≤ 1.
  1. x ≥ 2
  2. x ≤ 2
  3. x > 2
  4. x < 2

Questions & Step-by-Step Solutions

Solve the inequality: -3x + 7 ≤ 1.
  • Inequalities – Understanding how to manipulate inequalities, including reversing the inequality sign when dividing by a negative number.
  • Algebraic Manipulation – Performing operations on both sides of an inequality to isolate the variable.
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