- #1
Marco Lugo
- 9
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The class is called Math for EE and CE. The professor teaches from his own notes and doesn't give many examples. Any help checking my work would be appreciated and/or if you could point me in the direction of more examples like these. I've looked trough Set Theory and discrete math books but nothing looks similar.
1) Write out the following statement in English
∀a∈A: ∃b∈B: ∀c∈C : ((a+b>1 ∧ b-c >2) ⇒a+b+c >2)
My answer:
For all a∈A, all c∈C, there exists one b∈B, such that if a+b > 1 and b-c>2 is true then a+b+c > 2 is also true.
2) Let A = [9] - [3] and B = {x∈A| x>4}
Define by listing the set C = A - B
My answer:
A = [1,2,3,4,5,6,7,8,9] - [1,2,3]
A= [4,5,6,7,8,9]
B= [5,6,7,8,9]
C= A - B = [4,5,6,7,8,9] - [5,6,7,8,9]
C = [4]
1) Write out the following statement in English
∀a∈A: ∃b∈B: ∀c∈C : ((a+b>1 ∧ b-c >2) ⇒a+b+c >2)
My answer:
For all a∈A, all c∈C, there exists one b∈B, such that if a+b > 1 and b-c>2 is true then a+b+c > 2 is also true.
2) Let A = [9] - [3] and B = {x∈A| x>4}
Define by listing the set C = A - B
My answer:
A = [1,2,3,4,5,6,7,8,9] - [1,2,3]
A= [4,5,6,7,8,9]
B= [5,6,7,8,9]
C= A - B = [4,5,6,7,8,9] - [5,6,7,8,9]
C = [4]