Which of the following represents the set "all values of x greater than or equal to −1 and less than 2" in set builder notation? a. {x | 2 < x ≤ −1} b. {x | −1 ≤ x < 2} c. {x | x < 2} d. {x | −1, 0, 1, 2}

 B. {x | −1 ≤ x < 2}

Step-by-step explanation:

Sign we use to denote less than '<' .

Sign we use to denote greater than or equal  :

The expression to show all values of x greater than -1 :

The expression to show all values of x less than 2 :

Now , the expression is used to show  "all values of x greater than or equal to −1 and less than 2".

{x | −1 ≤ x < 2}

So , the correct answer : B. {x | −1 ≤ x < 2}

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