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saltytaetae
05.07.2019 •
Mathematics
What are all the subsets of the set? {–3, 6} a). empty set, {–3}, {6} b). empty set, {–3}, {6}, {–3, 6} c). {–3}, {6} d). {–3}, {6}, {–3, 6}
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Ответ:
b). empty set, {–3}, {6}, {–3, 6}
Ответ:
B) -3/2
Step-by-step explanation:
If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.
Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.
Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.