The minimum value of $f (x) = | 2 x + 5 | + 6$ is:

2

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3

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5

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6

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8

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Solution

The correct option is D $6$
$f (x) = | 2 x + 5 | + 6$
For $f (x)$ to be minimum $| 2 x + 5 |$ should be minimum.
We know that modulus is always greater than or equal to zero.
So, the minimum value of $f (x)$ is $0 + 6 = 6$ .

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