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Determine the solution set for the inequality 6x + 4 < 10.

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Question: Determine the solution set for the inequality 6x + 4 < 10.

Options:

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

Correct Answer: x < 1

Solution: 

6x + 4 < 10 => 6x < 6 => x < 1.

Determine the solution set for the inequality 6x + 4 < 10.

Practice Questions

Q1
Determine the solution set for the inequality 6x + 4 < 10.
  1. x < 1
  2. x > 1
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 6x + 4 < 10.
Correct Answer: x < 1
  • Step 1: Start with the inequality: 6x + 4 < 10.
  • Step 2: Subtract 4 from both sides to isolate the term with x: 6x + 4 - 4 < 10 - 4.
  • Step 3: This simplifies to: 6x < 6.
  • Step 4: Now, divide both sides by 6 to solve for x: 6x / 6 < 6 / 6.
  • Step 5: This simplifies to: x < 1.
  • 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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