MHB How Do Sets W, Y, and Z Intersect?

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The discussion focuses on the intersections of sets W, Y, and Z defined as W = { x| 0< x < 3}, Y = { x| x > 2}, and Z = { x | 0 <= x <= 4}. The first problem asks for the intersection of (W ∪ Y) with Z, while the second problem seeks the intersection of (W ∩ Y) with Z. The proposed answers indicate that the intersection (W ∪ Y) ∩ Z results in the range 0 < x <= 4, and (W ∩ Y) ∩ Z results in 2 < x < 3. The user expresses confusion about the intersections and seeks clarification on their proposed answers. The discussion emphasizes the need for accurate interpretation of set intersections.
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W = { x| 0< x < 3}
Y = { x| x > 2 }
Z = { x | 0 <= x < = 4}

then the problems:

1. (WUY) intersects Z =
2. (W intersects Y) intersects Z = do my propose answers below correct sir/mam?
1. 0 < x < = 4
2. 2< x < 3
hope you can help me on this
im using the line number ... but all i see in the intersection that lies in 1 to 2

im a little bit confused on this sir/mam

thank you much.
 
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rcs said:
W = { x| 0< x < 3}
Y = { x| x > 2 }
Z = { x | 0 <= x < = 4}

then the problems:

1. (WUY) intersects Z =

2. (W intersects Y) intersects Z = do my propose answers below correct sir/ma'am?

1. 0 < x < = 4 correct

2. 2< x < 3 correct

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