Question

any 5 examples of set builder form of set.....

Answer 1

Answer:

Example Set-Builder Notation Read as Meaning

1 {x : x > 0} the set of all x such that x is greater than 0. any value greater than 0

2 {x : x ≠ 11} the set of all x such that x is any number except 11. any value except 11

3 {x : x < 5} the set of all x such that x is any number less than 5. any value less than 5

Each of these sets is read aloud exactly the same way when the colon : is replaced by a vertical

line | as in {x | x > 0}. Both the colon and the vertical line represent the words "such that". Let's look at these examples again.

Example Set-Builder Notation Read as Meaning

with : with |

1 {x : x > 0} {x | x > 0} the set of all x such that x is greater than 0 any value greater than 0

2 {x : x ≠ 11} {x | x ≠ 11} the set of all x such that x is any number except 11 any value except 11

3 {x : x < 5} {x | x < 5} the set of all x such that x is any number less than 5 any value less than 5

Note that the "x" is just a place-holder, it could be anything, such as { q | q > 0 }.

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