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If 7 - 3x ≤ 1, what is the value of x?

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Question: If 7 - 3x ≤ 1, what is the value of x?

Options:

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

Correct Answer: x ≥ 2

Solution: 

7 - 3x ≤ 1 => -3x ≤ -6 => x ≥ 2.

If 7 - 3x ≤ 1, what is the value of x?

Practice Questions

Q1
If 7 - 3x ≤ 1, what is the value of x?
  1. x ≤ 2
  2. x ≥ 2
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

If 7 - 3x ≤ 1, what is the value of x?
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality 7 - 3x ≤ 1.
  • Step 2: To isolate the term with x, subtract 7 from both sides: -3x ≤ 1 - 7.
  • Step 3: Simplify the right side: -3x ≤ -6.
  • Step 4: Now, divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Manipulation – Applying algebraic operations correctly to isolate the variable.
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