Question

Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

• A. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, {-1, 0, 1}
• B. {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}
• C. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}
• D. {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$

Answer 1

The correct option is C {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}

Power set of any set A, contains all the subsets of set A.
Subsets of given set are - {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 13}, $\left\{\varphi \right\}$, {-1, 0, 1}
So a set containing all these subsets as its elements will be the power set.