SOLUTION: Prove or give a counterexample. S ∪ T = T ⇔ S ⊆ T

Algebra.Com
Question 644546: Prove or give a counterexample.
S ∪ T = T ⇔ S ⊆ T

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Hint: prove that if S is a subset of T, then the union of S and T is T.

Then prove that if S U T = T, then S must be a subset of T

RELATED QUESTIONS

Give a counterexample to the claim log (s/t) = log s/ log... (answered by MathLover1)
Give counterexample to the claim log(s/t)= log s/log... (answered by richard1234)
Give a counterexample to the claim log (s/t) = log s/ log t The problem says it needs... (answered by richard1234)
s + s+t/s-t = 1/t + s+t/s-t , for t Is this... (answered by Alan3354)
s + t 1 s + t s +... (answered by Alan3354)
Let S and T be sets. Prove that if x ∉ S ∩ T, then X ∉ S or X ∉... (answered by jim_thompson5910)
Consider the sets A = {x ∈ Z | x = 6s + 1 for some s ∈ Z} and B = {x ∈... (answered by greenestamps)
3t _____ s(t) = t +... (answered by stanbon)
Any help would be appreciated with this. If s and t are two complex numbers, prove the (answered by Edwin McCravy)