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If x - 2 < 3 and x + 1 > 0, what is the range of x?

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Question: If x - 2 < 3 and x + 1 > 0, what is the range of x?

Options:

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

Correct Answer: 0 < x < 5

Solution:

From x - 2 < 3, we get x < 5. From x + 1 > 0, we get x > -1. Thus, 0 < x < 5.

If x - 2 < 3 and x + 1 > 0, what is the range of x?

Practice Questions

Q1
If x - 2 < 3 and x + 1 > 0, what is the range of x?
  1. 0 < x < 5
  2. 2 < x < 5
  3. x < 5
  4. x > 5

Questions & Step-by-Step Solutions

If x - 2 < 3 and x + 1 > 0, what is the range of x?
  • Inequalities – Understanding how to solve and interpret inequalities to find the range of values for a variable.
  • Compound Inequalities – Combining multiple inequalities to determine a common range for the variable.
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