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Find the solution set for the inequality 3x + 2 ≤ 11.

Practice Questions

Q1
Find the solution set for the inequality 3x + 2 ≤ 11.
  1. x ≤ 3
  2. x < 3
  3. x ≥ 3
  4. x > 3

Questions & Step-by-Step Solutions

Find the solution set for the inequality 3x + 2 ≤ 11.
  • Step 1: Start with the inequality 3x + 2 ≤ 11.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 3x ≤ 11 - 2.
  • Step 3: Simplify the right side. 11 - 2 equals 9, so now you have 3x ≤ 9.
  • Step 4: Divide both sides by 3 to solve for x. This gives you x ≤ 9 / 3.
  • Step 5: Simplify the right side. 9 divided by 3 equals 3, so now you have x ≤ 3.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Isolating Variables – The process of isolating the variable on one side of the inequality.
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