Question

If x=7/-9 and y= -13/27,then verify
|x+y| ≤ |x|+|y|​

Answer 1

Step-by-step explanation:

$| \frac{ - 7}{9} + \frac{ - 13}{27} | \leqslant | \frac{ - 7}{9} | + | \frac{ - 13}{27} | \\ \\ | \frac{ - 21 - 13}{ - 27} | \leqslant \frac{7}{9} + \frac{13}{27} \\ \\ \\ \frac{44}{27} \leqslant \frac{21 + 13}{27} \\ \\ \frac{44}{27} \leqslant \frac{44}{27} \: \: \: true \\ \\ \\ \\ hence \: \: verified.$