Given the following sets select the statement that is NOT true. A=(l,a,t,e,r) B= (l,a,t,e) C=(t,a,l,e) D=(e,a,t)E=(t,e,a)
E=D
E=B
D=A
C=A
D=B
As it is (with the equality sign), there is one statement that is true.
If the sign is changed to a proper subset (⊂), there is only one statement that is false.
The subset sign can be type either by copy and paste from above, or typed as
& s u b ; without the spaces in between.
To determine which statement is NOT true, we can compare the sets mentioned in each statement. The statement that is NOT true would be the one where the sets on both sides of the equation are equal. Let's evaluate each statement:
1. E = D: Comparing set E=(t,e,a) with set D=(e,a,t). Both sets have the same elements, just in a different order. This statement is TRUE.
2. E = B: Comparing set E=(t,e,a) with set B=(l,a,t,e). These sets are different; E does not contain the element "l". This statement is TRUE.
3. D = A: Comparing set D=(e,a,t) with set A=(l,a,t,e,r). These sets are different; D does not contain the elements "l" and "r". This statement is TRUE.
4. C = A: Comparing set C=(t,a,l,e) with set A=(l,a,t,e,r). These sets are different; C does not include the element "r". This statement is TRUE.
5. D = B: Comparing set D=(e,a,t) with set B=(l,a,t,e). These sets are different; D does not contain the element "l". This statement is FALSE.
Therefore, the statement "D = B" is NOT true.