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BITSAT 2009

Exam: BITSAT
Year: 2009
Subject: Mathematics
Chapter: Permutation and Combination

BITSAT 2009 · Mathematics · Permutation and Combination

If ( (2 x+3)/(5) (4 x-1)/(2) ), then x lies in the interval

If (

\frac{2 x+3}{5} \lt \frac{4 x-1}{2}

), then

x

lies in the interval

Options

A( $\left[$ 0, $\frac{11}{16}\right)$ )
B( $\left[\frac{11}{16}, \infty\right)$ )
C( $\left($ 0, $\frac{11}{16}\right)$ )
D( $\left(\frac{11}{16}, \infty\right)$ )

Correct answer

D. ( $\left(\frac{11}{16}, \infty\right)$ )

Step-by-step solution

\begin{aligned} & \frac{2 x+3}{5} < \frac{4 x-1}{2} \Rightarrow-16 x < -11 \\ & \Rightarrow 16 x > 11 \Rightarrow x > \frac{11}{16}\\ & \text{ Hence, }x \in\left(\frac{11}{16}, \infty\right) \end{aligned}

)$

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