Let ℤ be the set of all integers and let, (20) 0 = { ∈ ℤ| = 4, for some integer }, 1 = { ∈ ℤ| = 4 + 1, for some integer }, 2 = { ∈ ℤ| = 4 + 2, for some integer }, 3 = { ∈ ℤ| = 4 + 3, for some integer }. Is {0, 1, 2, 3 } a partition of ℤ? Explain your answer.

is a partition of Z

Step-by-step explanation:

Given

for some integer k

for some integer k},

for some integer k},

and

for some integer k}.

Required

Is a partition of Z

Let

So:

So, we have:

Hence:

is a partition of Z

b i think

step-by-step explanation:

not really sure

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: