B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
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Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
Answer:
2/5
Step-by-step explanation:
5 - 8x < 2x + 3
5 - 8x < 2x + 3
<u>-3 - 3 </u> Step 1.
2 - 8x < 2x
<u> +8x +8x </u> Step 2. Missing step
2 < 10x
<u>÷10 ÷10</u> Step 3.
<u>2/10 < x</u>
<u>1/5 < x
The missing step is add 8x to both sides of the inequality.</u>
In the top the "f(x)" equals 9, now they are asking you to add onto the 9 by 1 causing it to be 10. If you did the first few you would have noticed that it takes 9 in order to get to 5 from -4.
here are the answers btw:
Answer:
The answer is D because, John is gonna keep running the multiples of 8.
Step-by-step explanation:
8X2= 16
