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If 3x - 2 < 4x + 1, what can be concluded about x?

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Question: If 3x - 2 < 4x + 1, what can be concluded about x?

Options:

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

Correct Answer: x > -3

Solution: 

Rearranging gives -3 < x, thus x > -3.

If 3x - 2 < 4x + 1, what can be concluded about x?

Practice Questions

Q1
If 3x - 2 < 4x + 1, what can be concluded about x?
  1. x < -3
  2. x > -3
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

If 3x - 2 < 4x + 1, what can be concluded about x?
  • Step 1: Start with the inequality 3x - 2 < 4x + 1.
  • Step 2: To isolate x, first subtract 3x from both sides. This gives -2 < x + 1.
  • Step 3: Next, subtract 1 from both sides to further isolate x. This results in -2 - 1 < x.
  • Step 4: Simplify the left side: -3 < x.
  • Step 5: Rewrite the inequality as x > -3.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging terms to isolate the variable.
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