Question

chek if |x+y| = |x|+|y| for x = -3 by 8 and y= 2 by 7​

Answer 1

The expression is not true, i.e. $|x + y| \neq |x| + |y|$.

Step-by-step explanation:

The expression is:

|x + y| = |x| + |y|

Given:

$x=-\frac{3}{8}\; \; \; ,\; y=\frac{2}{7}$

Check if the provided expression is true for the given values x and y as follows:

    $|x + y| = |x| + |y|$

$|-\frac{3}{8}+\frac{2}{7}|=|-\frac{3}{8}|+|\frac{2}{7}|$

 $|\frac{-21+16}{56}|=\frac{3}{8}+\frac{2}{7}$

 $|\frac{-21+16}{56}|=\frac{21+16}{56}$

        $|\frac{-5}{56}|=\frac{37}{56}$

          $\frac{5}{56}\neq \frac{37}{56}$

Thus, the expression is not true, i.e. $|x + y| \neq |x| + |y|$.