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If x + 4 < 2x - 1, what is the value of x?

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Question: If x + 4 < 2x - 1, what is the value of x?

Options:

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

Correct Answer: x > 5

Solution: 

Rearranging gives 4 + 1 < 2x - x, thus 5 < x, or x > 5.

If x + 4 < 2x - 1, what is the value of x?

Practice Questions

Q1
If x + 4 < 2x - 1, what is the value of x?
  1. x < 5
  2. x > 5
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

If x + 4 < 2x - 1, what is the value of x?
  • Step 1: Start with the inequality x + 4 < 2x - 1.
  • Step 2: To isolate x, first move x from the left side to the right side. Subtract x from both sides: (x + 4) - x < (2x - 1) - x.
  • Step 3: This simplifies to 4 < 2x - x - 1.
  • Step 4: Now simplify the right side: 2x - x = x, so we have 4 < x - 1.
  • Step 5: Next, add 1 to both sides to isolate x: 4 + 1 < x.
  • Step 6: This simplifies to 5 < x, or x > 5.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging terms to isolate the variable.
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