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If 2x + 3 < 11, what is the maximum integer value of x?

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Question: If 2x + 3 < 11, what is the maximum integer value of x?

Options:

  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: 4

Solution: 

Solving 2x + 3 < 11 gives 2x < 8, thus x < 4. The maximum integer value is 3.

If 2x + 3 < 11, what is the maximum integer value of x?

Practice Questions

Q1
If 2x + 3 < 11, what is the maximum integer value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 2x + 3 < 11, what is the maximum integer value of x?
  • Step 1: Start with the inequality 2x + 3 < 11.
  • Step 2: To isolate the term with x, subtract 3 from both sides: 2x + 3 - 3 < 11 - 3.
  • Step 3: This simplifies to 2x < 8.
  • Step 4: Now, divide both sides by 2 to solve for x: 2x / 2 < 8 / 2.
  • Step 5: This simplifies to x < 4.
  • Step 6: The maximum integer value less than 4 is 3.
  • Inequalities – Understanding how to solve and interpret inequalities.
  • Integer Values – Identifying the maximum integer that satisfies the inequality.
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