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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 < 4
  4. x > 4

Correct Answer: x < 5

Solution: 

Rearranging gives 4 > x, thus x < 4.

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 < 4
  4. x > 4

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. This gives us 4 > 3x - 2x - 1.
  • Step 3: Simplify the left side: 4 > x - 1.
  • Step 4: Next, add 1 to both sides to isolate x. This gives us 4 + 1 > x.
  • Step 5: Simplify the left side: 5 > x.
  • Step 6: This can be rewritten as x < 5.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging equations to isolate the variable.
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