sadandlonely sadandlonely

05-11-2021
Mathematics

contestada

Given A = {x ∈ ℤ : 4|x} and B = {x ∈ ℤ : 2|x}. Prove A ⊆ B.

Respuesta :

LammettHash LammettHash

05-11-2021

Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.

We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.

Therefore A ⊆ B.

Answer Link

Otras preguntas

Solve the inequalities, if possible, and graph. 4(4t + 2) < 2(4t + 4).

A point is _____. imaginary real

a mole of carbon dioxide (co2) has 12.0 grams of carbon (c) and 32.0 grams of oxygen (o). what is the percent composition of carbon in carbon dioxide?

if juliet consistently buys health insurance for twenty years but never suffers a costly illness, were her premium payments wasted?

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

in order to assure that a policy speech acknowledges an issue, identifies a solution, and explains a plan of action, a writer should use an .

which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form?

the equation a = represents the angle measures, a, in a regular n-sided polygon. when the equation is solved for n, n is equal to a fraction with a denominator

vice president cheney was called upon to temporarily assume the office of president when __________.

At constant pressure, the volume of a fixed mass of gas and its kelvin temperature are said to be a. directly related. b. inversely related. c. unrelated. d.

Q&A Education