Question

which of the following are subsets of $d = \\{-30, -17, -9, 4, 18\\}$? select all that apply.${-9, 4, 18, 30}$${-17, -4}$${-17, -9, 4, 18}$${30}$submit

Explanation:

Step1: Define subset rule

A set \(S\) is a subset of \(D\) if every element of \(S\) is in \(D = \{-30, -17, -9, 4, 18\}\).

Step2: Check first set

Set \(\{-9, 4, 18, 30\}\): 30 is not in \(D\), so not a subset.

Step3: Check second set

Set \(\{-17, -4\}\): -4 is not in \(D\), so not a subset.

Step4: Check third set

Set \(\{-17, -9, 4, 18\}\): All elements are in \(D\), so it is a subset.

Step5: Check fourth set

Set \(\{30\}\): 30 is not in \(D\), so not a subset.

Answer:

\(\{-17, -9, 4, 18\}\)