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Solve the inequality: 7 - 2x ≥ 3.

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Question: Solve the inequality: 7 - 2x ≥ 3.

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: -2x ≥ -4. Step 2: Divide by -2 (reverse inequality): x ≤ 2.

Solve the inequality: 7 - 2x ≥ 3.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality: 7 - 2x ≥ 3.
  • Step 1: Start with the inequality: 7 - 2x ≥ 3.
  • Step 2: Subtract 7 from both sides to isolate the term with x. This gives you: -2x ≥ 3 - 7.
  • Step 3: Simplify the right side: -2x ≥ -4.
  • Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must reverse the inequality sign. So, you get: x ≤ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including the effect of multiplying or dividing by negative numbers.
  • Reverse Inequality – Recognizing that the direction of the inequality sign changes when dividing or multiplying by a negative number.
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