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Find the solution to the inequality: 4x - 1 ≤ 3x + 2.

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Question: Find the solution to the inequality: 4x - 1 ≤ 3x + 2.

Options:

  1. x ≤ 3
  2. x ≤ 1
  3. x ≥ 1
  4. x ≥ 3

Correct Answer: x ≤ 1

Solution: 

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

Find the solution to the inequality: 4x - 1 ≤ 3x + 2.

Practice Questions

Q1
Find the solution to the inequality: 4x - 1 ≤ 3x + 2.
  1. x ≤ 3
  2. x ≤ 1
  3. x ≥ 1
  4. x ≥ 3

Questions & Step-by-Step Solutions

Find the solution to the inequality: 4x - 1 ≤ 3x + 2.
  • 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.
  • Step 5: This gives you x ≤ 3.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in performing operations such as addition and subtraction on both sides of an equation.
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