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If 5x + 2 > 12, what is the smallest integer value of x?

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Question: If 5x + 2 > 12, what is the smallest integer value of x?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution:

Subtract 2 from both sides: 5x > 10. Then divide by 5: x > 2.

If 5x + 2 > 12, what is the smallest integer value of x?

Practice Questions

Q1
If 5x + 2 > 12, what is the smallest integer value of x?
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Questions & Step-by-Step Solutions

If 5x + 2 > 12, what is the smallest integer value of x?
  • Step 1: Start with the inequality 5x + 2 > 12.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 5x > 10.
  • Step 3: Now, divide both sides of the inequality by 5 to solve for x. This results in x > 2.
  • Step 4: The smallest integer value that is greater than 2 is 3.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Integer Solutions – Identifying the smallest integer that satisfies the inequality.
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