Question

For the following exercises, write the interval in set-builder notation

10. (-infinity, 6)
11. (4, infinity)
12. [-3,5)
13. [-4,1]U[9, infinity)
14. (-infinity, infinity)

Answer 1

10. (-infinity, 6) Set Builder Form = { x : x < 6}

11. (4, infinity) Set Builder Form = { x : x > 4}

12. [-3,5) Set Builder Form = { x : -3 ≤ x < 5}

13. [-4,1]U[9, infinity) Set Builder Form = {x : x ∈ [-4,∞) - (1,9)}

14. (-infinity, infinity) Set Builder Form = {x : x ∈ (-∞,∞)}

Explanation:

Set Builder form of a set states the general definition of the given function without specifying each and every element of set.

Now, here the given sets are:

10. (-infinity, 6)

Set Builder Form = { x : x < 6}

11. (4, infinity)

Set Builder Form = { x : x > 4}

12. [-3,5)

Set Builder Form = { x : -3 ≤ x < 5}

13. [-4,1]U[9, infinity)

Set Builder Form = {x : x ∈ [-4,∞) - (1,9)}

14. (-infinity, infinity)

Set Builder Form = {x : x ∈ (-∞,∞)}