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If x^(3) lt 8^(4), then find the greates...

If `x^(3) lt 8^(4)`, then find the greatest possible integer value of x.

A

11

B

16

C

17

D

15

Text Solution

Verified by Experts

The correct Answer is:
D
Given that, `(x^(3)) lt (8^(4))`
`(x^(3)) lt ((2^(4))^(3))implies x^(3) lt (2^(4))^(3)`
`implies x lt 2^(4) implies x lt 16`
The greatest possible satisfying the above inequation is 15.
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