The correct option is B gt;4 Given x lt; 3 and y gt; 7 Let x lt; 3 —— (1) Consider y gt; 7 ⇒ y lt; 7 —— (2) adding (1) and (2 ...

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Solving Equations Involving Absolute Number

If x7, then |...

Question

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

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Solution

The correct option is B
>4

Given $x < 3$ and $y > 7$

Let $x < 3$ ------ (1)

Consider $y > 7$

$\Rightarrow - y < - 7$ ------- (2)

adding (1) and (2)

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

$x - y < 3 - 7$

$x - y < - 4$

$(x - y) > | - 4 |$

$\Rightarrow | x - y | > 4$

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