Question

if a =-3/2 and b = 4/5, verify that:
(i) |a*b|=|a|*|b|
(ii) |a-b|≥|a|-|b|
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Both the equation are verified.

Given:

a =-3/2 and b = 4/5

To Verify:

(i) |a*b|=|a|*|b|

(ii) |a-b|≥|a|-|b|

Solution:

|a| = |$\frac{-3}{2}$| = $\frac{3}{2}$

|b| = |$\frac{4}{5}$| = $\frac{4}{5}$

i) |a*b|=|a|*|b|

= |$\frac{-3}{2} * \frac{4}{5}$| = $\frac{3}{2}$ *  $\frac{4}{5}$

= |$\frac{-6}{5}$| =  $\frac{6}{5}$

=  $\frac{6}{5}$ =  $\frac{6}{5}$

Hence, Verified.

ii)|a-b|≥|a|-|b|

=  |$\frac{-3}{2} - \frac{4}{5}$| ≥ $\frac{3}{2}$ -  $\frac{4}{5}$

= |$\frac{-23}{10}$| ≥  $\frac{7}{10}$

=  $\frac{23}{10}$ ≥  $\frac{7}{10}$

Hence, Verified.

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