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If x ≤ 4, which of the following must be true?

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Question: If x ≤ 4, which of the following must be true?

Options:

  1. x + 1 ≤ 5
  2. x - 2 ≥ 2
  3. 2x ≤ 8
  4. x + 3 > 8

Correct Answer: 2x ≤ 8

Solution:

If x ≤ 4, then 2x ≤ 8 is always true.

If x ≤ 4, which of the following must be true?

Practice Questions

Q1
If x ≤ 4, which of the following must be true?
  1. x + 1 ≤ 5
  2. x - 2 ≥ 2
  3. 2x ≤ 8
  4. x + 3 > 8

Questions & Step-by-Step Solutions

If x ≤ 4, which of the following must be true?
  • Inequalities – Understanding how to manipulate and interpret inequalities, specifically how multiplying or dividing by a positive number affects the direction of the inequality.
  • Logical Implications – Recognizing that if a condition (x ≤ 4) is true, then other statements derived from it (like 2x ≤ 8) must also be true.
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