Question

write the range of the following relation in list form.
${(6,\sqrt{2}),(7,\sqrt{3}),(8,\sqrt{4}),(9,\sqrt{5})}$
range =
${6, 7, 8, 9, \sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}}$
${\sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}}$
${6, 7, 8, 9}$

Explanation:

Step1: Identify range definition

The range of a relation is the set of all second elements from each ordered pair.

Step2: Extract second elements

From $\{(6, \sqrt{2}), (7, \sqrt{3}), (8, \sqrt{4}), (9, \sqrt{5})\}$, the second elements are $\sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}$.

Step3: Form the range set

Collect these elements into a set in list form.

Answer:

B. $\{\sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5}\}$