Determine whether the following statements are true or false. Explain all your a

Question

Determine whether the following statements are true or false. Explain all your answers. a. In base 7, the next number after 66ren is 100grve a. b. An odd number written in binary (base 2) form always ends in a 0. c. The intersection of two disjoint sets has no proper subsets. d. If a quarter is worth less than two dimes, then a dollar is worth less than two quarters e. If an argument has premises that are all contradictory, then it must be invalid. f. 2+35 if and only 10-1-3 g. The statement "I don't go to the beach whenever the tide is high" is equivalent to "If Igo to the beach, then the tide is not high." h. If a pizzeria offers 5 different toppings to put on their pizzas (assume it also prepares pizzas with no toppings), then it offers a total of exactly 25 pizzas with at least 2 toppings. i. The negation of the statement "Everyone has made a logical error sometimes" is "Someone has never made a logical error." j. The truth table for the compound statement (p q)rs) has 8 rows.

Explanation / Answer

a) true because 66 + 1 = 100 because 6+1=10

b) false because 3 = 11

c) true

d) false because dollar = 100 cent , quarter = 25 cents

e) true

f) false its always

g) false

h) false

sorry for other two question.

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