Question

find the closure property for the following questions :
1. -1/2 , -1/2​

Answer 1

SOLUTION

TO CHECK

The closure property for the numbers $\displaystyle \sf{ \frac{1}{2} \: \: and \: \: - \frac{1}{2} }$

EVALUATION

Here the given numbers are $\displaystyle \sf{ \frac{1}{2} \: \: and \: \: - \frac{1}{2} }$

Now closure property for real numbers states that if a and b are real numbers then a + b is real number

Now

$\displaystyle \sf{ \frac{1}{2} \: \: and \: - \frac{1}{2} }$ are real numbers

Now their sum

$\displaystyle \sf{ = - \frac{1}{2} + \frac{1}{2} }$

$= 0$

Again 0 is a real number

Hence closure property is verified

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