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NDA 2019

Exam: NDA
Year: 2019
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2019 · Mathematics · Basics of Mathematics

If |x^2-3 x+2| > x^2-3 x+2 , then which one of the following is...

If \left|x^2-3 x+2\right| > x^2-3 x+2$, then which one of the following is correct?

Options

A $x < 1$ or $x > 2$
B $1 \leq x \leq 2$
C $1 < x < 2$
D $x$ is any real value except 3 and 4

Correct answer

C. $1 < x < 2$

Step-by-step solution

\begin{aligned} & \left|x^2-3 x+2\right| \gt x^2-3 x+2 \\ & \Rightarrow|(x-1)(x-2)| \gt (x-1)(x-2) \end{aligned}

by options, if we put

x=1

then we get

0 \gt 0\therefore

options (a), (b) and (d) are not correct.

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