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Solve the inequality 2x + 4 ≤ 10.

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Question: Solve the inequality 2x + 4 ≤ 10.

Options:

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

Correct Answer: x ≤ 3

Solution: 

2x + 4 ≤ 10 => 2x ≤ 6 => x ≤ 3.

Solve the inequality 2x + 4 ≤ 10.

Practice Questions

Q1
Solve the inequality 2x + 4 ≤ 10.
  1. x ≤ 3
  2. x < 3
  3. x ≥ 3
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 2x + 4 ≤ 10.
  • Step 1: Start with the inequality 2x + 4 ≤ 10.
  • Step 2: Subtract 4 from both sides to isolate the term with x. This gives you 2x ≤ 10 - 4.
  • Step 3: Simplify the right side. 10 - 4 equals 6, so now you have 2x ≤ 6.
  • Step 4: Divide both sides by 2 to solve for x. This gives you x ≤ 6 / 2.
  • Step 5: Simplify the right side. 6 divided by 2 equals 3, so now you have x ≤ 3.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving one variable.
  • Isolation of Variable – The process of isolating the variable on one side of the inequality to find its range of values.
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