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

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Evyn asked Sep 26, 2022

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

Mathematics
college

Evyn asked Sep 26, 2022

by Evyn

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14 votes

Answer:

Yes

Explanation:

Lets verify

a be 3/5
b be 2/5

LHS

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

$\\ \sf\longmapsto 1$

RHS

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

$\\ \sf\longmapsto 1$

Vijay Madhavapeddi answered Oct 3, 2022

by Vijay Madhavapeddi

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