Question

rite the set in set-builder notation. {3,4,5,6,7} {x∣x= , where n is an integer between 3 and inclusive? [-/1 Points] TANFIN12 6.1.005. List the elements of the set in roster notation. (Enter EMPTY or a for the empty set.) {x∣x is a digit in the number 645,323} [−/1 Points ] TANFIN12 6.1.006. Ust the elements of the set in roster notation. (Enter EMPTY or of for the empty set.) {x∣x is a letter in the word HIPPOPOTAMUS\} [−/1 points] TANFIN12 6.1.007. List the elements of the set in roster notation. (Enter EMPTY or of for the empty set.) {x∣5−x=4 and x is an integer }

Answer 1

The first set in set-builder notation is x . The second set in roster notation is {6, 4, 5, 3, 2}. The third set in roster notation is {H, I, P, O, T, A, M, U, S}. The fourth set is empty.

Step-by-step explanation:

The set {3, 4, 5, 6, 7} in set-builder notation can be written as x is an integer and 3 ≤ x ≤ 7.

The set x in roster notation can be written as {6, 4, 5, 3, 2}.

The set x is a letter in the word HIPPOPOTAMUS in roster notation can be written as {H, I, P, O, T, A, M, U, S}.

The set x is empty since there is no value of x that satisfies the equation.