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Leya [2.2K]
3 years ago
15

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

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

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)

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