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If 3x + 4 < 2x + 10, what is the value of x?

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Question: If 3x + 4 < 2x + 10, what is the value of x?

Options:

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

Correct Answer: x < 6

Solution: 

Step 1: Subtract 2x from both sides: x + 4 < 10. Step 2: Subtract 4: x < 6.

If 3x + 4 < 2x + 10, what is the value of x?

Practice Questions

Q1
If 3x + 4 < 2x + 10, what is the value of x?
  1. x < 6
  2. x > 6
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

If 3x + 4 < 2x + 10, what is the value of x?
  • Step 1: Start with the inequality 3x + 4 < 2x + 10.
  • Step 2: Subtract 2x from both sides to get x + 4 < 10.
  • Step 3: Now, subtract 4 from both sides to isolate x: x < 6.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables.
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