Given the inequality $2 p + q > 15$ , which of the following CANNOT be a possible value of $q$ , when $p = 3$ ?

9

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10

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11

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12

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Solution

The correct option is A $9$
Given, $2 p + q > 15$
As given $p = 3$ , then
$\Rightarrow 2 \times 3 + q > 15$
$\Rightarrow 6 + q > 15$
$\Rightarrow q = 15 - 6$
$\Rightarrow q > 9$
As $q$ is always greater than $9$ , then $q = 9$ is not possible.

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