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

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

Options:

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

Correct Answer: x < -1

Solution:

7x + 2 < 5 => 7x < 3 => x < -1.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality 7x + 2 < 5?
Correct Answer: x < -1
  • Step 1: Start with the inequality: 7x + 2 < 5.
  • Step 2: Subtract 2 from both sides to isolate the term with x: 7x < 5 - 2.
  • Step 3: Simplify the right side: 7x < 3.
  • Step 4: Divide both sides by 7 to solve for x: x < 3/7.
  • Step 5: Convert 3/7 to a decimal if needed: 3/7 is approximately 0.4286.
  • Step 6: Therefore, the solution is x < 0.4286.
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