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If 3x + 2 > 5, what is the minimum integer value of x?

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Question: If 3x + 2 > 5, what is the minimum integer value of x?

Options:

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

Correct Answer: 2

Solution: 

Solving gives 3x > 3, thus x > 1. The minimum integer is 2.

If 3x + 2 > 5, what is the minimum integer value of x?

Practice Questions

Q1
If 3x + 2 > 5, what is the minimum integer value of x?
  1. 1
  2. 2
  3. 3
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Questions & Step-by-Step Solutions

If 3x + 2 > 5, what is the minimum integer value of x?
  • Step 1: Start with the inequality 3x + 2 > 5.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 3x > 3.
  • Step 3: Now, divide both sides by 3 to solve for x. This results in x > 1.
  • Step 4: Since we need the minimum integer value of x, we look for the smallest whole number greater than 1, which is 2.
  • Inequalities – Understanding how to solve linear inequalities and interpret the results.
  • Integer Values – Identifying the smallest integer that satisfies the inequality.
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