X={1, 1/2, square root of 3, -3/4}
B={0.5, -0.75, 1.7321}
Is B a subset of X?
the issue here is the sqrt(3) does not exactly equal 1.7321
So if it is exact, then it is considered?
To determine if set B is a subset of set X, you need to compare the elements of B with the elements of X. If all the elements of B are also elements of X, then B is a subset of X.
Let's compare the elements:
B = {0.5, -0.75, 1.7321}
X = {1, 1/2, √3, -3/4}
Comparing the elements one by one:
0.5 is in X (since 1/2 is in X)
-0.75 is not in X
1.7321 is not in X (√3 is in X, but it is not precisely equal to 1.7321)
Since not all the elements of B are in X, B is not a subset of X.