Recent content by WannaBe

Thank You. A∩Bc = A-B So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

Draw the venn diagram for A∩Bc (A Intersection B Completement) Is my solution correct?

⊆ = Subset ∈ = Element Definition: If all the elements of a set is contained in ANOTHER set, then the set whose elements are contained in another set is a subset. Ex. Set A 's elements= 1,2,3 Set B's elements= 1,2,3,4,5 so... that means all the elements of Set A are in Set B, so A ⊆ B.

Question: Write ⊆ or ∈ in the space provided: N _______ ℚ N _______ P(R) ∅ _______ Z √ 2 _______ R Solution: N ∈ ℚ N ∈ P(R) ∅ ⊆ Z √ 2 ⊆ R

What is the image of the function f : Z*N -> R ; f(a,b)= a/b? I know the answer is Q (rational numbers) but I don't know how to find it.

Prove that for any two numbers x,y we have [(x^2 + y^2)/2] >= x + y - 1 Solution) For any number a we have have a^2 > 0. So, (x-1)^2 + (y-1)^2 >= 0 And if we solve this we get the solution.I don't get the red part.

every integer is a product of two integers. My Solution: ∀ n,o,p E Z, n = o*p E Z Is this correct?

∀x∀y (x >= y)

So, what's the next step?

(x+3) (7-x) ((x-2)^2) > 0} x > -3 , x < 7 , x > 2 (-3,2)U(7,oo) Is it correct?

Express the set {X E R: (x+3) (7-x) ((x-2)^2) > 0} as a union of intervals