Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set. A = (-∞, - 5], B = [5, ∞)

Given

Two sets A = (-∞, - 5], B = [5, ∞)

Find

union, AUB

Explanation

Union of two sets A and B is the set of all elements that are present in A or in B

so , here A = (-∞, - 5], B = [5, ∞)

then union of set A and B is given by

Final Answer

Therefore., the union of A and B is (-∞, - 5] U [5, ∞)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.