Answer:
46
Step-by-step explanation:
You need just substitute values of x and y, and calculate.
24x - 13y = 24*3 - 13*2 = 72 - 26 = 46
Answer:
x=1 y=3
Step-by-step explanation:
3x+y=6 is the same as y=6-3x
2x-y=-1 is the same as y=2x+1
set them equal to each other
6-3x=2x+1
5x=5
x=1
substitute the value of x into either equation
y=2(1) +1
y=3
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
