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

[Guest]

COMPREHENSION BASED QUESTION

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

Question 1: The maximum value of the expression 27 - |9x - 8| is
(A) 27 (B) 17
(C) 44 (D) 26

Question 2: Minimum value of |9x - 8| is
(A) 0 (B) 1
(B) 44 (D) 10

Question 3: Solution set of the equation |x - 1/3| = 5 is
(A) {16/3,14/3} (B) Can not be determined

[Math Tutor]

The minimum value of |9x - 8| is
|9x - 8| = 0 because modules are always bigger than or equal to 0.
and it is reached when [tex]x=\frac{8}{9}[/tex]