Of the 42 students in a certain Spring 2010 Math 147 class, 19 passed both the mid-term and the final examinations. A total of 25 students passed the mid-term examination and a total of 30 students passed the final exam.

(a) Represent this information on a Venn diagram. (Take the set of the 52 students to be the universal set.)

(b) How many students failed both examinations?

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

the answer to this question is 3/19

step-by-step explanation:

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

the answer is 40.

proof: