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If 3x - 4 ≤ 5, what is the range of x?

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Question: If 3x - 4 ≤ 5, what is the range of x?

Options:

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

Correct Answer: x ≤ 3

Solution: 

Solving 3x - 4 ≤ 5 gives 3x ≤ 9, thus x ≤ 3.

If 3x - 4 ≤ 5, what is the range of x?

Practice Questions

Q1
If 3x - 4 ≤ 5, what is the range of x?
  1. x ≤ 3
  2. x ≥ 3
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

If 3x - 4 ≤ 5, what is the range of x?
  • Step 1: Start with the inequality 3x - 4 ≤ 5.
  • Step 2: Add 4 to both sides of the inequality to isolate the term with x. This gives you 3x - 4 + 4 ≤ 5 + 4.
  • Step 3: Simplify both sides. You get 3x ≤ 9.
  • Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you x ≤ 9 / 3.
  • Step 5: Simplify the right side. You get x ≤ 3.
  • Inequalities – Understanding how to solve and interpret inequalities.
  • Algebraic Manipulation – Skills in rearranging and simplifying algebraic expressions.
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