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NDA 2020

Exam: NDA
Year: 2020
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2020 · Mathematics · Basics of Mathematics

If 1.5 ≤ x ≤ 4.5 , then which one of the following is correct?

If

1.5 \leq x \leq 4.5

, then which one of the following is correct?

Options

A $(2 x-3)(2 x-9) > 0$
B $(2 x-3)(2 x-9) < 0$
C $(2 x-3)(2 x-9) \geq 0$
D $(2 x-3)(2 x-9) \leq 0$

Correct answer

D. $(2 x-3)(2 x-9) \leq 0$

Step-by-step solution

1.5 \leq x \leq 4.5\frac{3}{2} \leq x \leq \frac{9}{2} \Rightarrow 3 \leq 2 x \leq 9\therefore(2 x-3) \geq 0

and

(2 x-9) \leq 0

Hence,

(2 x-3)(2 x-9) \leq 0

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