Let $X = \{ x \mid x \geq 16 \}$ and $Y = \{ x \mid x

Question

Let $X = \{ x \mid x \geq 16 \}$ and $Y = \{ x \mid x < - 14 \}$. Determine the given intersection. Express the answer in interval notation.
$X \cap Y$
A) $[ - 14,16 )$
B) $( - 14,16 ]$
C) $( - \infty , - 14 ] \cup ( 16 , \infty )$
D) {  }

Quizplus · Accepted Answer

The set $X$ includes all numbers greater than or equal to 16, and the set $Y$ includes all numbers less than -14. There are no numbers that can be both greater than or equal to 16 and less than -14 at the same time, so the intersection of $X$ and $Y$ is the empty set, {}.

Let X={x∣x≥16}X = \{ x \mid x \geq 16 \}X={x∣x≥16} And Y={x∣x<−14}Y = \{ x \mid x < - 14 \}Y={x∣x<−14}

Let $X = \{ x \mid x \geq 16 \}$ And $Y = \{ x \mid x < - 14 \}$