Question

Let $A=\{-7,5,2\}$ and $B=\{\sqrt[3]{3125},\sqrt{4},\sqrt{49}\}$,
Are the sets $A$ and $B$ equal ? Choose the correct option for the above. Justify your answer.

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient
  

Answer 1

Answer: (B)

No

Given sets are $\{-7,5,2\}$ and $B=\{\sqrt[3]{3125},\sqrt{4},\sqrt{49}\}$

Equal sets have the exact same elements in them, event though they could be out of order.

We have $A=\{-7,5,2\}$ and $B=\{5,2,7\}$ as $\sqrt[3]{3125}=5,\sqrt{4}=2,\sqrt{49}=7$

As $7\ne -7$, so set $A$ is not equal to set $B$.