The value of $x$ for which $\frac{x-3}{4}-x 2 x-8$

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

The value of

x

for which

\frac{x-3}{4}-x < \frac{x-1}{2}-\frac{x-2}{3}, 2-x > 2 x-8

View answer and explanation

Correct option: B

\left(-1, \frac{10}{3}\right)

Option B ((-1,

\frac{{10}}{{3}}

)) is correct because solving the inequalities yields

x > -1

and

x < \frac{{10}}{{3}}

, thus the solution set is the interval between -1 and

\frac{{10}}{{3}}

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