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Is the square of z less than 100?

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Question: Is the square of z less than 100?

Options:

  1. Statement 1: z < 10
  2. Statement 2: z > -10
  3. Both statements together are sufficient
  4. Neither statement is sufficient

Correct Answer: Both statements together are sufficient

Solution: 

From Statement 1, z < 10 implies z² < 100. Statement 2 does not contradict this, thus both statements confirm z² < 100.

Is the square of z less than 100?

Practice Questions

Q1
Is the square of z less than 100?
  1. Statement 1: z < 10
  2. Statement 2: z > -10
  3. Both statements together are sufficient
  4. Neither statement is sufficient

Questions & Step-by-Step Solutions

Is the square of z less than 100?
  • Inequalities – Understanding how to manipulate and interpret inequalities, particularly in relation to squares of numbers.
  • Logical reasoning – Evaluating the implications of given statements and how they relate to the original question.
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