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If x + 3 < 2x - 1, what is the minimum integer value of x?

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Question: If x + 3 < 2x - 1, what is the minimum integer value of x?

Options:

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

Correct Answer: 3

Solution: 

Rearranging gives 4 < x, thus the minimum integer value is 5.

If x + 3 < 2x - 1, what is the minimum integer value of x?

Practice Questions

Q1
If x + 3 < 2x - 1, what is the minimum integer value of x?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If x + 3 < 2x - 1, what is the minimum integer value of x?
  • Step 1: Start with the inequality x + 3 < 2x - 1.
  • Step 2: To isolate x, first subtract x from both sides. This gives you 3 < 2x - x - 1.
  • Step 3: Simplify the right side. This results in 3 < x - 1.
  • Step 4: Next, add 1 to both sides to further isolate x. This gives you 3 + 1 < x.
  • Step 5: Simplify the left side. You now have 4 < x.
  • Step 6: This means x must be greater than 4. The smallest integer greater than 4 is 5.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Integer Values – Identifying the smallest integer that satisfies the inequality.
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