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Solve the inequality: 7 - 3x ≥ 1.

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Question: Solve the inequality: 7 - 3x ≥ 1.

Options:

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

Correct Answer: x ≥ 2

Solution:

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

Solve the inequality: 7 - 3x ≥ 1.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality: 7 - 3x ≥ 1.
  • Inequalities – Understanding how to manipulate and solve inequalities, including the effect of multiplying or dividing by negative numbers.
  • Reverse Inequality – Recognizing that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
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