Determine the intersection $\boldsymbol { X } \cap \boldsymbol { Y }$ . Express the answer in interval notation.
-$X = \{ x \mid x \geq - 2 \}$ and $Y = \{ x \mid x

Question

Determine the intersection $\boldsymbol { X } \cap \boldsymbol { Y }$ . Express the answer in interval notation.
-$X = \{ x \mid x \geq - 2 \}$ and $Y = \{ x \mid x < - 6 \}$
A) $( - 6 , - 2 ]$
B) $( - \infty , - 6 ] \cup ( - 2 , \infty )$
C){  }
D) $[ - 6 , - 2 )$

Quizplus · Accepted Answer

Sets $X$ and $Y$ have no elements in common since $X$ includes all numbers greater than or equal to $-2$, and $Y$ includes all numbers less than $-6$. Therefore, their intersection is the empty set.

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Determine the Intersection $\boldsymbol { X } \cap \boldsymbol { Y }$