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If 2x + 5 > 3x - 1, what is the solution for x?

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Question: If 2x + 5 > 3x - 1, what is the solution for x?

Options:

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

Correct Answer: x > -6

Solution: 

Step 1: Subtract 2x from both sides: 5 > x - 1. Step 2: Add 1: 6 > x, or x < 6.

If 2x + 5 > 3x - 1, what is the solution for x?

Practice Questions

Q1
If 2x + 5 > 3x - 1, what is the solution for x?
  1. x < 6
  2. x > 6
  3. x < -6
  4. x > -6

Questions & Step-by-Step Solutions

If 2x + 5 > 3x - 1, what is the solution for x?
  • Step 1: Start with the inequality 2x + 5 > 3x - 1.
  • Step 2: Subtract 2x from both sides to get 5 > x - 1.
  • Step 3: Now, add 1 to both sides to isolate x. This gives you 6 > x.
  • Step 4: Rewrite the inequality as x < 6.
  • Inequalities – Understanding how to manipulate and solve inequalities involving variables.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables.
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