The correct option is C gt;4 Here x lt; 3 and y gt; 7 ⇒ y lt; 7 Now, x+( y) lt; (3)+( 7) x y lt; 3 7 x y lt; 4 |x y| gt;|4| ⇒ |x y| ...

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Solving Equations Involving Absolute Number

If x7, then |...

Question

If x < 3 & y > 7, then $| x - y |$ is

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Solution

The correct option is C
>4

Here x < 3 and y > 7

$\Rightarrow - y < - 7$

Now, $x + (- y) < (3) + (- 7)$

$x - y < 3 - 7$

$x - y < - 4$

$| x - y | > | 4 |$

$\Rightarrow | x - y | > | 4 |$

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