Discrete Mathematics Answers

in a village, 180 houses have TV, 120 houses have radio. 80 houses have both. 125 houses have nothing. Find total number of houses

Let P and Q be statements, then

P↔Q is logically equivalent to

Without changing their meanings , convert each of the following sentences into a sentence of the form “If P, then Q.”


An integer is even provided it is not odd


A geometric series with ratio r diverges whenever |r|>=1


Every polynomial is continuous


Whenever I go to English class, I wish I were in math class instead .

Give two examples of an implication which is true, but whose converse is not true. One example should be a real-world example, while the other should be an example from math involving the integers.

find the sum \\ (\\bar{AB}+\\bar{BC}+\\bar{CD}+\\bar{DE}+\\bar{EF}\\)

if kemi did not attend MTH 105 classes is (p), she will become angry (q). kemi did not attend the class, hence, she became angry. write the statement symbolically

If A=B, then A−B= _____________

a.B

b.A\'

c.A

d.empty set

If kemi did not attend MTH 105 classes is (p), she will become angry (q). Kemi did not attend the class. Hence, she became angry. Write the statement symbolically.

When two sets A and B consist of the same elements, they are called_____sets

a.equal

b.compliment

c.union

d.difference

in a survey of 100 students, 56 wrote the Maths exams, 23 wrote psychology and 21 wrote the science exam. 12 wrote both maths and psychology exams, 9 write the maths and science exams and 6 wrote both psychology and science exams. 5 students wrote neither. determine how many students wrote all three exams.


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