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No- this is not true in general.
Counterexample: Let a = {1,2}, b = {1} and c ={2}.
a union c = [1,2} and b union c = {1,2} but a does not equal b.
The statement be made true by putting additional restrictions on the sets.
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∙ 13y ago
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If a equals b then a - c equals b - c true or false?
This is true. As it is the same number for A and B so taking C from one would be the same as taking C from the other.
Prove A union B minus A intersection B equals A minus B union B minus A?
complement of c
Is it true that if a intersect b equals a intersect c then b equals c?
No. Suppose A = {1,2}, B = {1,2,3,4,5,6} and C = {1,2,3,5,7,11}. The intersection of A with B is {1,2}, the intersection of A with C is also {1,2}, but B is not equal to C.
If a minus b equals c then what does b minus a equals?
a - b = c -(a - b) = -c b - a = -c
If a equals b and b equals c then what does c plus b equals?
2a. (a, b and c are all equal.)
If a equals b then a - c equals b - c true or false?
This is true. As it is the same number for A and B so taking C from one would be the same as taking C from the other.
Prove A union B minus A intersection B equals A minus B union B minus A?
complement of c
Prove if a union c equals b union c and a intersect c equals b intersect c then a equals b?
suppose x is in B. there are two cases you have to consider. 1. x is in A. 2. x is not in A Case 1: x is in A. x is also in B. then x is in A intersection B. Since A intersection B = A intersection C, then this means x is in A intersection C. this implies that x is in C. Case 2: x is not in A. then x is in B. We know that x is in A union B. Since A union B = A union C, this means that x is in A or x is in C. since x is not in A, it follows that x is in C. We have shown that B is a subset of C. To show that C is subset of B, we do the same as above.
Is it true that if a intersect b equals a intersect c then b equals c?
No. Suppose A = {1,2}, B = {1,2,3,4,5,6} and C = {1,2,3,5,7,11}. The intersection of A with B is {1,2}, the intersection of A with C is also {1,2}, but B is not equal to C.
True or false in triangle ABC with the right agnel at C if B equals 13.5 and C equals 28.9 then angle B equals 27.8?
True : Sin B = 13.5/28.9 = 0.46713 : Therefore Angle B = 27.8 (1dp)
Is it true that If A union B equals A union C then B equals C?
NO. The set of numbers in Set B and the set of numbers in Set C CAN be the same, but are not necessarily so.For example if Set A were "All Prime Numbers", Set B were "All Even Numbers", and Set C were "All numbers that end in '2'", A union B would equal A union C since 2 is the only even prime number and 2 is the only prime number that ends in 2. However, Sets B and C are not the same set since 4 exists in Set B but not Set C, for example.However, we note in this example and in any other possible example that where Set B and Set C are different, one will be a subset of the other. In the example, Set C is a subset of Set B since all numbers that end in 2 are even numbers.
If a minus b equals c then what does b minus a equals?
a - b = c -(a - b) = -c b - a = -c
If a plus a equals b and b plus c equals a and a-c equals b what is c?
a= (+a) or a= (-) b= 2a b= 2a c= (-a) c= (+a)
If a equals b and b equals c then what does c plus b equals?
2a. (a, b and c are all equal.)
What means a equals equals equals b in c language?
a b means return true if the value of a is equal to the value of b, otherwise return false. a = b means assign the value of b to the variable a.
If a plus b equals c then c - b equals?
A.
True or False triangle ABC with right angle at C if C equals 24mm and A equals 16.67 then angle B equals 26?
False : Cos B = 16.67/24 = 0.6946 : Therefore angle B = 46° (not 26°).
