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What is the solution to the inequality 7x + 5 < 2x + 20?

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Question: What is the solution to the inequality 7x + 5 < 2x + 20?

Options:

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

Correct Answer: x < 3

Solution: 

7x + 5 < 2x + 20 => 5x < 15 => x < 3.

What is the solution to the inequality 7x + 5 < 2x + 20?

Practice Questions

Q1
What is the solution to the inequality 7x + 5 < 2x + 20?
  1. x < 3
  2. x > 3
  3. x < 4
  4. x > 4

Questions & Step-by-Step Solutions

What is the solution to the inequality 7x + 5 < 2x + 20?
Correct Answer: x < 3
  • Step 1: Start with the inequality: 7x + 5 < 2x + 20.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides: 7x - 2x + 5 < 20.
  • Step 3: This simplifies to: 5x + 5 < 20.
  • Step 4: Next, subtract 5 from both sides to isolate the term with x: 5x < 20 - 5.
  • Step 5: This simplifies to: 5x < 15.
  • Step 6: Finally, divide both sides by 5 to solve for x: x < 15 / 5.
  • Step 7: This gives us the final solution: x < 3.
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