Question

50 MARKS
ANY GENIUS HELP ME
Varify closure property and commutative property:----
$\frac{ - 2}{7} + \frac{11}{3}$​

Answer 1

Closure property:-

A set is closed under an operation if performance of that operation on members of the set always produces a member of that set.

$\frac{-2}{7}+\frac{11}{3}$

$Lcm:-21$

$\frac{-6+77}{21}\\ \\ \frac{71}{21}$

Thus closure property hold.

__________________
Commutative Property:-

a binary operation is commutative if changing the order of the operands does not change the result.

1.

$\frac{-2}{7}+\frac{11}{3}$

$Lcm:-21$

$\frac{-6+77}{21}$

$\frac{71}{21}$

2.

$\frac{11}{3}+\frac{-2}{7}$

$Lcm:-21$

$\frac{77+(-6)}{21}\\ \\ \frac{71}{21}$

Thus, commutative Property hold.