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

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

Options:

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

Correct Answer: x > 4

Solution: 

2x + 5 > 3x - 1 => 5 + 1 > 3x - 2x => 6 > x => x < 6.

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

Practice Questions

Q1
Find the solution for the inequality 2x + 5 > 3x - 1.
  1. x < 6
  2. x > 6
  3. x < 4
  4. x > 4

Questions & Step-by-Step Solutions

Find the solution for the inequality 2x + 5 > 3x - 1.
Correct Answer: x < 6
  • Step 1: Start with the inequality: 2x + 5 > 3x - 1.
  • Step 2: To isolate x, first get all the x terms on one side. Subtract 2x from both sides: 5 > 3x - 2x - 1.
  • Step 3: Simplify the left side: 5 > x - 1.
  • Step 4: Now, add 1 to both sides to isolate x: 5 + 1 > x.
  • Step 5: Simplify the left side: 6 > x.
  • Step 6: This can be rewritten as x < 6.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying algebraic operations correctly to isolate the variable.
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