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If -2 < x < 3, which of the following is true?

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Question: If -2 < x < 3, which of the following is true?

Options:

  1. x + 1 > 0
  2. x - 1 < 1
  3. 2x < 5
  4. x + 2 < 5

Correct Answer: 2x < 5

Solution: 

For -2 < x < 3, 2x < 6 is true, hence 2x < 5 is true.

If -2 < x < 3, which of the following is true?

Practice Questions

Q1
If -2 < x < 3, which of the following is true?
  1. x + 1 > 0
  2. x - 1 < 1
  3. 2x < 5
  4. x + 2 < 5

Questions & Step-by-Step Solutions

If -2 < x < 3, which of the following is true?
  • Step 1: Understand the inequality -2 < x < 3. This means x is a number that is greater than -2 and less than 3.
  • Step 2: Multiply the entire inequality by 2. This gives us -4 < 2x < 6.
  • Step 3: Analyze the new inequality -4 < 2x < 6. This means 2x is greater than -4 and less than 6.
  • Step 4: Now, we need to check if 2x < 5 is true. Since 2x < 6, it is also true that 2x < 5 because 5 is less than 6.
  • Step 5: Therefore, since 2x < 5 is true, we conclude that the statement is correct.
  • Inequalities – Understanding and manipulating inequalities to determine valid ranges for variables.
  • Multiplication of Inequalities – Applying multiplication to inequalities and understanding how it affects the direction of the inequality.
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