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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:
18% (00:30) correct
81% (00:55) wrong based on 11 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.
gmatclubot
Re: Which of the following options must be true m, if 1 m^2 ? [#permalink]
12 Dec 2024, 01:18
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