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Which of the following options must be true m, if 1 m^2 ?
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15 Sep 2024, 22:53
15 Sep 2024, 22:53
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Question Stats:
31% (00:36) correct
68% (00:54) wrong based on 19 sessions
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Which of the following options must be true m, if \(1 ≥ m^2\) ?
A. \(m ≥ 1\)
B. \(1 ≥ m\)
C. \(1 ≥ m ≥ 0\)
D. \(m ≥ – 1\)
A. \(m ≥ 1\)
B. \(1 ≥ m\)
C. \(1 ≥ m ≥ 0\)
D. \(m ≥ – 1\)
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Re: Which of the following options must be true m, if 1 m^2 ?
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12 Dec 2024, 01:18
12 Dec 2024, 01:18
Expert Reply
We know $\(\mathrm{m}^2 \leq 1\)$; we need to check from the options that which of them is true.
The inequality $\(\mathrm{m}^2 \leq 1 \Rightarrow-1 \leq \mathrm{m} \leq 1\)$ i.e. the value of m lies between $\(-1 \& 1\)$, both inclusive.
Hence options (B) \& (D) are true.
The inequality $\(\mathrm{m}^2 \leq 1 \Rightarrow-1 \leq \mathrm{m} \leq 1\)$ i.e. the value of m lies between $\(-1 \& 1\)$, both inclusive.
Hence options (B) \& (D) are true.
Re: Which of the following options must be true m, if 1 m^2 ?
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22 Jul 2025, 07:27
22 Jul 2025, 07:27
Carcass
if m can lie in between 1 and -1 it must also have values between 1 and 0 right?
why isnt the option C also true
if m can lie in between 1 and -1 it must also have values between 1 and 0 right?
why isnt the option C also true
