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[x] is the greatest integer less than or equal to x. What is

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[x] is the greatest integer less than or equal to x. What is

by Max@Math Revolution » Wed Jun 12, 2019 9:32 pm

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[x] is the greatest integer less than or equal to x. What is the value of [Ï€^2 - 10]?

A. -8
B. -7
C. -1
D. 0
E. 1
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by swerve » Thu Jun 13, 2019 6:22 am
[x] is the greatest integer less than or equal to x
\(\Rightarrow\) Eg: [1.2] = 1
[3.4] = 3
[-2.5] = -3 so on ...

[Ï€^2 - 10] = [(3.14)^2 - 10]
= [-0.14]
= -1
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[x] means round down.

by Max@Math Revolution » Sun Jun 16, 2019 9:52 pm
[x] means round down.

Ï€^2 - 10
≈ (3.14)^2 - 10
≈ 9.86 - 10
= -0.14.
Therefore, [-0.14] = -1 since -1 is the greatest integer less than or equal to -0.14.

Therefore, the answer is C.
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