Solve the inequality -3x + 2 ≤ 5. What is the solution?

Practice Questions

Q1
Solve the inequality -3x + 2 ≤ 5. What is the solution?
  1. x ≤ -1
  2. x ≥ -1
  3. x < -1
  4. x > -1

Questions & Step-by-Step Solutions

Solve the inequality -3x + 2 ≤ 5. What is the solution?
Correct Answer: x ≥ -1
  • Step 1: Start with the inequality -3x + 2 ≤ 5.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you -3x ≤ 5 - 2.
  • Step 3: Simplify the right side. Now you have -3x ≤ 3.
  • Step 4: To solve for x, divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign. So it becomes x ≥ -1.
  • Step 5: The solution to the inequality is x ≥ -1.
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