Set of values of x which satisfy 5x + 2 < 3x + 8 and frac{{x + 2}}{{x

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4-2.Quadratic Equations and Inequations

easy

The set of values of $x$ which satisfy $5x + 2 < 3x + 8$ and $\frac{{x + 2}}{{x - 1}} < 4,$ is

$(2,\,3)$

$( - \infty ,\,1) \cup (2,\,3)$

$( - \infty ,\,1)$

$(1,\,3)$

Solution

(b) Trick : By inspection, we see that all the values of $x$ lying in $( – \infty ,1) \cup (2,3)$ satisfy the equations and no other value outside the interval satisfy it.

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