Question

The maximum value of the expression 27-|9x-8| is

Answer 1

Answer:

Step-by-step explanation:

27 - | 9x - 8 | <= 27 for all x € R, since

| 9x - 8 | >= 0 for all x € R.

Thus the maximum value of the expression 27 - | 9x - 8| is 27.

Answer 2

Answer:

The maximum value of the expression 27-|9x-8| is 27.

Step-by-step explanation:

The absolute value of an integer is its numerical value irrespective of its sign (or nature). The absolute

value of an integer ‘x’ is written as |x| and is defined as

a) mode(x) = x, if x is more than or equal to 0

b) mode(x) = -x, if x is less than 0

Given: 27-|9x-8|

Find: The maximum value of the given expression.

For having maximum value of 27-|9x-8| the value of |9x-8| is should be minimum.

The minimum value of $|9x - 8|$ is

$|9x - 8| = 0$

because modules are always bigger than or equal to 0.

So, Maximum Value

$=27-0\\=27$

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