1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vampirchik [111]
4 years ago
5

Let A, B and C be sets. Prove that if A ⊆ B ∪ C and A ∩ B = ∅ then A ⊆ C

Mathematics
1 answer:
Studentka2010 [4]4 years ago
6 0

Answer and Solution:

As per the question:

Given:

If A\subseteq B\cup C

A\cap B = \phi

To prove:

A\subseteq \C

Proof:

Suppose t\in A

As we know that:

A\subseteq B\cup C

Therefore,

t\in B or t\in C

Now, if we assume that t\in B

Then

t\in A\cap B

Since,

t\in A and t\in B

But

A and B are disjoint set and A\cap B = \phi

Therefore, this is contradictory.

Thus

t\notin B

So,

t\in C

Every element in the set A is also present in the set C

Therefore, A\subseteq \C

Hence, proved.

You might be interested in
Please help, brainliest awarded to actual answers
DIA [1.3K]
The answer is B !!!!
6 0
3 years ago
Brad put 10 crickets in his pets lizard cage. After one day, Brad's lizard had eaten 50% of the crickets he had put in the cage.
Artemon [7]

Answer:

There are 4 crickets left

Step-by-step explanation:

10/2=5

20% of 5 is 1

5-1=4

Don't forget to brainliest me

8 0
3 years ago
Read 2 more answers
A number of apples divided into 12 baskets
Temka [501]
You would represent the number of apples with the variable a.

So the equation for that word problem would be = a/12.

I hope you find this answer the most helpful! :)
6 0
4 years ago
Read 2 more answers
3. Write an equation where the left side is your power of 10 times n and the right side
rjkz [21]

Answer:

10*0.11515

Step-by-step explanation:

3 0
3 years ago
A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Sidana [21]

Answer:

Son's age is 25.

Step-by-step explanation:

Let the Father's age be 2x.

Let the son's age be x.

Five years ago:

Man's age will be = 2x - 5

Son's age will be = x - 5

If the ratio of their ages five years ago was 9:4, then:

2x - 5/x-5 = 9/4

⇒ 4(2x - 5) = 9(x - 5)

⇒ 8x - 20 = 9x - 45

⇒ -20 + 45 = 9x - 8x

⇒ 25 = x

∴ x = 25

Hence, the son's age = 25 years

If x = 25, the father's age (2x) will be 2 × 25 = 50 years

7 0
3 years ago
Other questions:
  • PLZ EXPLAIN HOW TO DO THIS
    11·1 answer
  • How do you solve for #23
    5·1 answer
  • 2. How many sixteenth notes would be needed to have the same duration as 3 quarter notes? Represent this as a fraction
    8·1 answer
  • What is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15
    12·2 answers
  • Your bathroom scale sits on a ramp making an angle of 20 degrees with the (perfectly horizontal) ground. When you stand on the s
    8·1 answer
  • 9n + 8 = 27 rounded to the nearest hundredth:
    11·2 answers
  • NEED HELP ASAP MARK YOU BRAINLIEST what is 30+35+30=
    14·1 answer
  • Hellppp im so stuck
    14·1 answer
  • always teacher gave her science test with 25 questions on it she scored 80% on the test how many questions did she answer incorr
    15·2 answers
  • If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!