All categories

3 years ago

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

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

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.

You might be interested in

Help please asp what does this equal:<br> 1/5.1/5.1/5

motikmotik

Answer:

0.00768935024

((1/5.1)/5.1)/5 = 0

(0.19607843/5.1)/5 = 0

0.03844675/5 = 0

0.00768935 = 0

5 0

2 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

dalvyx [7]

Answer:

Step-by-step explanation:

$\frac{14}{7} =\frac{n}{21}$

Let us divide by 14 by 7 which is 2, so the equation is:

$2 = \frac{n}{21}$

Let us multiple 21 over the other side since 21 is in the denominator of the equation, so we get

$n = 21*2 = 42$

So the answer is 42.

8 0

2 years ago

How do I solve this system using substitution: y = x + 4; y = 3x

Olin [163]

You just do
3x=x+4
subtract x from both sides
2x=4
divide 2 from both sides
x=2
y=2+4
y=6
(x,y)= (2,6)

4 0

3 years ago

Read 2 more answers

The local dairy farm has 3.7×10^3 cows and each cow produces 2.6×10^3 gallons of milk each year. How many gallons are produced a

Nadusha1986 [10]

Answer:

96.2*10^5 gallons

Step-by-step explanation:

gallons of milk produced by 1 cow = 2.6×10^3

No. of cows with local dairy farm = 3.7×10^3

Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm = 2.6×10^3 * 3.7×10^3 = 9.62*10^6

we have to write it in standard form = 96.2*10^5 gallons

i can be also written as = 9,620,000 Gallons.

9.62 Million Gallons of milk is produced by local dairy farm Yearly.

8 0

3 years ago

Work and answer step-by-step <br><br> 12-3b<9

lesya [120]

Answer:

b>1

Step-by-step explanation:

12-3b<9

-3b<9-12

-3b<-3

b>1

4 0

3 years ago

Read 2 more answers