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If 5 - 2x > 1, what is the minimum integer value of x?

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Question: If 5 - 2x > 1, what is the minimum integer value of x?

Options:

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Correct Answer: 2

Solution: 

Solving the inequality: -2x > -4, thus x < 2. The minimum integer value of x is 1.

If 5 - 2x > 1, what is the minimum integer value of x?

Practice Questions

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

If 5 - 2x > 1, what is the minimum integer value of x?
  • Step 1: Start with the inequality: 5 - 2x > 1.
  • Step 2: Subtract 5 from both sides to isolate the term with x: -2x > 1 - 5.
  • Step 3: Simplify the right side: -2x > -4.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you flip the inequality sign: x < 2.
  • Step 5: The question asks for the minimum integer value of x. The integers less than 2 are 1, 0, -1, etc.
  • Step 6: The smallest integer that is less than 2 is 1.
  • Inequalities – Understanding how to manipulate and solve inequalities to find variable ranges.
  • Integer Values – Identifying the minimum integer that satisfies the given inequality.
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