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If x + 4 < 10, which of the following must be true?

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Question: If x + 4 < 10, which of the following must be true?

Options:

  1. x < 6
  2. x > 6
  3. x < 5
  4. x > 5

Correct Answer: x < 6

Solution:

Rearranging gives x < 6.

If x + 4 < 10, which of the following must be true?

Practice Questions

Q1
If x + 4 < 10, which of the following must be true?
  1. x < 6
  2. x > 6
  3. x < 5
  4. x > 5

Questions & Step-by-Step Solutions

If x + 4 < 10, which of the following must be true?
  • Step 1: Start with the inequality x + 4 < 10.
  • Step 2: To isolate x, subtract 4 from both sides of the inequality.
  • Step 3: This gives you x < 10 - 4.
  • Step 4: Now, calculate 10 - 4, which equals 6.
  • Step 5: So, you have x < 6.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging equations to isolate the variable.
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