Question

F and H are sets of real numbers defined as follows.

Answer 1

Answer:

$(a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)$

Step-by-step explanation:

Given the sets F and H of real numbers defined as given:

F={w | w>3}

H={w | w>6}

To write a set in interval  notation, we use these brackets, (  ) for < or > while we use [ or ] for $\leq or \geq$.

Since our sets are defined by strict inequalities(< or >)

In interval notation

$F=(3,\infty), H=(6,\infty)$

$(a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)$