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45 votes
I don’t understand these problems

I don’t understand these problems-example-1
User Rohit Utekar
by
3.1k points

1 Answer

22 votes
22 votes

Both E and F are sets.

E = w

means that E is the set of all numbers w satisfying the condition that w ≤ 2. In other words, E contains all real numbers less than and including 2.

Similarly,

F = w > 9

is the set of all real numbers strictly greater than 9.

The intersection of E and F, denoted EF, is the set that contains the overlap of the two sets, or all the numbers that are common to both sets. In this case, EF is the empty set; this is because all numbers small than 2 cannot be larger than 9, so EF = ∅.

The union of E and F, written as EF, is the set containing all elements from both sets. In interval notation, E = (-∞, 2] and F = (9, ∞), so EF = (-∞, 2] ∪ (9, ∞).

User Thomas Deniau
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2.9k points
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