Question

Verify that |a + b| is either less than or equal to lal + |bl for the following values of a and b. 1. a=-3/2;b=3/4​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

|a+b|<|a|+|b|

Step-by-step explanation:

Given that,

a=-3/2,b=3/4

consider,

|a+b|=|-3/2+3/4|

=>|-3/2×2/2+3/4×1/1|     (Since for finding LCM)

=>|-6/4+3/4|

=>|-6+3/4|=>|-3/4|

=3/4

now, consider

|a|+|b|=|-3/2|+|3/4|

=3/2+3/4

=6+3/4    (By taking LCM)

=9/4

therefore,

3/4<9/4

so,|a+b|<|a|+|b|

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