Question

if x = -3 upon 7 and y = 1 upon -2, then prove that | x + y | = | x | + | y | .​

Answer 1

Step-by-step explanation:

x= -3/7

y=1/-2

$|x + y| = |x| + |y| \\ | \frac{ - 3}{7} + \frac{1}{ - 2} | = | \frac{ - 3}{7} | + | \frac{1}{ - 2} | \\ | \frac{6 + 7}{ - 14} | = \frac{3}{7} + \frac{1}{ 2} \\ | \frac{13}{ - 14} | = \frac{6 + 7}{14} \\ \frac{13}{14} = \frac{13}{14}$

L.H.S = R.H.S

HENCE PROVED...

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