Is |a + b| = |a| + |b| true for all rational numbers a and b?

asked Jul 10, 2022 5.7k views

5 votes

by Mfink

4.1k points

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6 votes

Answer:

Yes

Explanation:

Lets verify

LHS

$\\ \sf\longmapsto \left|(3)/(5)+(2)/(5)\right|$

$\\ \sf\longmapsto 1$

RHS

$\\ \sf\longmapsto \left|(3)/(5)\right|+\left|(2)/(5)\right|$

$\\ \sf\longmapsto 1$

Keoros answered Jul 15, 2022

4.1k points

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