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If 4x + 1 ≤ 13, what is the range of x?

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Question: If 4x + 1 ≤ 13, what is the range of x?

Options:

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

Correct Answer: x ≤ 3

Solution: 

Solving 4x + 1 ≤ 13 gives 4x ≤ 12, thus x ≤ 3.

If 4x + 1 ≤ 13, what is the range of x?

Practice Questions

Q1
If 4x + 1 ≤ 13, what is the range of x?
  1. x ≤ 3
  2. x < 3
  3. x ≥ 3
  4. x > 3

Questions & Step-by-Step Solutions

If 4x + 1 ≤ 13, what is the range of x?
  • Step 1: Start with the inequality 4x + 1 ≤ 13.
  • Step 2: Subtract 1 from both sides to isolate the term with x. This gives you 4x ≤ 12.
  • Step 3: Now, divide both sides by 4 to solve for x. This results in x ≤ 3.
  • Step 4: The solution means that x can be any number less than or equal to 3.
  • Inequalities – Understanding how to solve linear inequalities and interpret the results.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables.
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