Questionolications
Question 3, 7.2.5
HW Score: 24.04\%, 3.13 of 13
points
Points: 0 of 1
Sav
Shade the Venn Diagram to show the set.
Use the graphing tool to graph the set
Studdy Solution
STEP 1
What is this asking? Shade the area of the Venn diagram that represents everything in F, *or* everything *not* in B! Watch out! Don't mix up union and intersection, and remember what that prime symbol on the means!
STEP 2
1. Understand the symbols
2. Shade F
3. Shade *not* B
4. Combine the shaded regions
STEP 3
The union symbol means we want *everything* in either set, or *both*!
Think of it like adding the sets together.
STEP 4
The prime symbol (also sometimes written as a horizontal bar over a set or a little 'c' for complement) means we want everything that is *not* in that set.
So means everything *outside* of B!
STEP 5
We shade *all* of circle F, including the part that overlaps with B.
Remember, we're looking for anything in F *or* not in B.
So, anything in F definitely counts!
STEP 6
Now, we shade everything *outside* of circle B.
This includes the part of F that *doesn't* overlap with B, *and* it includes everything outside of *both* circles!
STEP 7
Since we're looking for the *union*, we want to include *all* the shaded regions from the previous two steps.
Notice that shading everything outside of B *also* shades the part of F that doesn't overlap with B.
So, the final shaded area is everything in F *plus* everything outside of B.
STEP 8
The entire circle F is shaded, as well as the entire area outside of circle B.
The only part *not* shaded is the portion of circle B that does *not* overlap with F.
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