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Find the solution set for the inequality 3x + 4 ≤ 10.

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Question: Find the solution set for the inequality 3x + 4 ≤ 10.

Options:

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

Correct Answer: x ≤ 2

Solution: 

3x + 4 ≤ 10 => 3x ≤ 6 => x ≤ 2.

Find the solution set for the inequality 3x + 4 ≤ 10.

Practice Questions

Q1
Find the solution set for the inequality 3x + 4 ≤ 10.
  1. x ≤ 2
  2. x < 2
  3. x ≥ 2
  4. x > 2

Questions & Step-by-Step Solutions

Find the solution set for the inequality 3x + 4 ≤ 10.
Correct Answer: x ≤ 2
  • Step 1: Start with the inequality 3x + 4 ≤ 10.
  • Step 2: Subtract 4 from both sides to isolate the term with x. This gives you 3x ≤ 10 - 4.
  • Step 3: Simplify the right side. 10 - 4 equals 6, so now you have 3x ≤ 6.
  • Step 4: Divide both sides by 3 to solve for x. This gives you x ≤ 6 / 3.
  • Step 5: Simplify the right side. 6 divided by 3 equals 2, so now you have x ≤ 2.
  • 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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