Question

GIVING BRAINLIEST TO WHOEVER CAN GIVE THE RIGHT ANSWER

Answer 1

Answer:

See below ~

Step-by-step explanation:

• B ∪ C = {∞}
• As all numbers will be included, the union of the sets is equal to all real numbers (infinity)
• B ∩ C = {1, 2, 3, 4, 5, 6}
• Only the numbers that are greater than or equal to 1, but less than 7

Answer 2

Answer:

B ∪ C =  (-∞, ∞)

B ∩ C = [1, 7)

Step-by-step explanation:

B ∪ C:  The union of two sets or intervals is the set of elements which are in either set.  

B ∩ C:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

• B = {z | z ≥ 1}
• C = {z | z < 7}

Therefore,

B = [1, ∞)

C = (-∞, 7)

Therefore,  B ∪ C =  (-∞, ∞)

As z is either less than 7, or equal to or more than 1 then the intersection is:

B ∩ C = {z | 1 ≤ z < 7} = [1, 7)