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 ∈ (-∞,∞)}

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step-by-step explanation:

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