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Question

If x < 5 and y > 8, then find the value of |x - y|.

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Solution

Given x<5 and y>8

Let x<5 ------ (1)

Consider y>8

ā‡’āˆ’y<āˆ’8 ------- (2)

adding (1) and (2)

x+(āˆ’y)<(5)+(āˆ’8)

xāˆ’y<5āˆ’8

xāˆ’y<āˆ’3

(xāˆ’y)>|āˆ’3|

ā‡’|xāˆ’y|>3


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