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Is it true that if a intersect b equals a intersect c then b equals c?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y 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.
Is it true that if a union c equals b union c then a equals b?
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.
How do you find the venn diagram for union of three sets?
Draw your Venn Diagram as three overlapping circles. Each circle is a set. The union of the sets is what's contained within all 3 circles, making sure not to count the overlapping portion twice. An easier problem is when you have 2 sets, lets say A and B. In a Venn Diagram that looks like 2 overlapping circles. A union B = A + B - (A intersect B) A intersect B is the region that both circles have in common. You subtract that because it has already been included when you added circle A, so you don't want to add that Again with circle B, thus you subtract after adding B. With three sets, A, B, C A union B union C = A + B - (A intersect B) + C - (A intersect C) - (B intersect C) + (A intersect B intersect C) You have to add the middle region (A intersect B intersect C) back because when you subtract A intersect C and B intersect C you are actually subtracting the very middle region Twice, and that's not accurate. This would be easier to explain if we could actually draw circles.
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.
Is it true that if a union c equals b union c then a equals b?
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.
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.
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)
The quantity of A intersect at B intersect at C is equal to C intersect at the quantity of A intersect at B?
all major intersection have various other signs offering information to road users
How do you find the venn diagram for union of three sets?
Draw your Venn Diagram as three overlapping circles. Each circle is a set. The union of the sets is what's contained within all 3 circles, making sure not to count the overlapping portion twice. An easier problem is when you have 2 sets, lets say A and B. In a Venn Diagram that looks like 2 overlapping circles. A union B = A + B - (A intersect B) A intersect B is the region that both circles have in common. You subtract that because it has already been included when you added circle A, so you don't want to add that Again with circle B, thus you subtract after adding B. With three sets, A, B, C A union B union C = A + B - (A intersect B) + C - (A intersect C) - (B intersect C) + (A intersect B intersect C) You have to add the middle region (A intersect B intersect C) back because when you subtract A intersect C and B intersect C you are actually subtracting the very middle region Twice, and that's not accurate. This would be easier to explain if we could actually draw circles.
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°).
