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Determine the intersection X ∩ Y. Express the answer in interval notation.X = {x | x ≥ -2} and Y = {x | x < -6}Select one:a. (-6, -2]b. [-6, -2)c. { }d. (-∞, -6] (-2, ∞)Clear my choice

Question

Determine the intersection X ∩ Y. Express the answer in interval notation.X = {x | x ≥ -2} and Y = {x | x < -6}Select one:a. (-6, -2]b. [-6, -2)c. { }d. (-∞, -6] (-2, ∞)Clear my choice

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Solution

The intersection of the sets X and Y is determined by finding the values that are common to both sets.

Set X includes all values greater than or equal to -2. Set Y includes all values less than -6.

There are no values that are both greater than or equal to -2 and less than -6 at the same time.

Therefore, the intersection of sets X and Y is an empty set.

In interval notation, an empty set is represented as { }.

So, the correct answer is c. { }.

This problem has been solved

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