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

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Question: If 2x + 4 < 3x - 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 x > 5. Thus, the correct option is x < 5.

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

Practice Questions

Q1
If 2x + 4 < 3x - 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 2x + 4 < 3x - 1, what is the value of x?
  • Step 1: Start with the inequality: 2x + 4 < 3x - 1.
  • Step 2: To isolate x, first subtract 2x from both sides: 4 < 3x - 2x - 1.
  • Step 3: This simplifies to: 4 < x - 1.
  • Step 4: Next, add 1 to both sides to isolate x: 4 + 1 < x.
  • Step 5: This simplifies to: 5 < x.
  • Step 6: We can also write this as: x > 5.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging terms to isolate the variable.
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