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.

Standard 11

Mathematics

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medium

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normal

(KVPY-2015)

Let $a, b, c, d$ be real numbers such that $|a-b|=2$, $|b-c|=3,|c-d|=4$. Then, the sum of all possible values of $|a-d|$ is

hard

(KVPY-2011)

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