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Find the solution set for the inequality 2x + 3 < 5x - 1.

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Question: Find the solution set for the inequality 2x + 3 < 5x - 1.

Options:

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

Correct Answer: x > 4/3

Solution: 

2x + 3 < 5x - 1 => 4 < 3x => x > 4/3.

Find the solution set for the inequality 2x + 3 < 5x - 1.

Practice Questions

Q1
Find the solution set for the inequality 2x + 3 < 5x - 1.
  1. x < 4/3
  2. x > 4/3
  3. x < 2/3
  4. x > 2/3

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x + 3 < 5x - 1.
  • Step 1: Start with the inequality: 2x + 3 < 5x - 1.
  • Step 2: To isolate x, first subtract 2x from both sides: 3 < 5x - 2x - 1.
  • Step 3: This simplifies to: 3 < 3x - 1.
  • Step 4: Next, add 1 to both sides to get: 3 + 1 < 3x.
  • Step 5: This simplifies to: 4 < 3x.
  • Step 6: Now, divide both sides by 3 to isolate x: 4/3 < x.
  • Step 7: This can be rewritten as: x > 4/3.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in rearranging and simplifying expressions to isolate the variable.
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