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

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

Options:

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

Correct Answer: x < 3

Solution: 

Step 1: Subtract 3x from both sides: x - 1 < 2. Step 2: Add 1: x < 3.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If 4x - 1 < 3x + 2, what is the value of x?
  • Step 1: Start with the inequality 4x - 1 < 3x + 2.
  • Step 2: Subtract 3x from both sides to get 4x - 3x - 1 < 2.
  • Step 3: This simplifies to x - 1 < 2.
  • Step 4: Now, add 1 to both sides to isolate x: x - 1 + 1 < 2 + 1.
  • Step 5: This simplifies to x < 3.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and rearranging terms to isolate the variable.
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