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LaGrange's Mean Value theorem

The greatest ...

Question

The greatest value of x that satisfies the inequality $2 x + 3 < 25,$ where x is a prime number is

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Solution

The correct option is B 7
$2 x + 3 < 25$
$2 x < 22$
$x < 11$
Hence the greatest prime number satisfying the inequality will be the prime number just preceding 11.
Hence
$x = 7$ .

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