Question

Which answer choice shows that the set ofirrational numbers is not closed under addition?+1-1=00T+ = 27оо1 1+ - = 12 2

Answer 1

Step-by-step explanation

The question wants us to select the answer choice that shows the set of irrational numbers that is not closed under the addition.

Form the options given

`\begin{gathered} \pi+(-\pi)=0 \\ is\text{ not closed} \end{gathered}`

Because,

`\begin{gathered} \pi\text{ is an irrational number} \\ But\text{ 0 is a rational number} \end{gathered}`

Thus the answer is the first option

`\pi+(-\pi)=0`