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If 5x - 7 < 3, what is the value of x?

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Question: If 5x - 7 < 3, what is the value of x?

Options:

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

Correct Answer: x < 2

Solution: 

5x - 7 < 3 => 5x < 10 => x < 2

If 5x - 7 < 3, what is the value of x?

Practice Questions

Q1
If 5x - 7 < 3, what is the value of x?
  1. x < 2
  2. x > 2
  3. x < 1
  4. x > 1

Questions & Step-by-Step Solutions

If 5x - 7 < 3, what is the value of x?
  • Step 1: Start with the inequality: 5x - 7 < 3.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 5x - 7 + 7 < 3 + 7.
  • Step 3: Simplify both sides. The left side becomes 5x and the right side becomes 10. So now you have: 5x < 10.
  • Step 4: Now, divide both sides of the inequality by 5 to solve for x. This gives you: x < 10 / 5.
  • Step 5: Simplify the right side. 10 divided by 5 is 2. So you have: x < 2.
  • Inequalities – The question tests the understanding of solving linear inequalities.
  • Algebraic Manipulation – It assesses the ability to manipulate algebraic expressions to isolate the variable.
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