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)

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 ∈ (-∞,∞) }

Step-by-step 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 ∈ (-∞,∞) }