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
My name is Ann [436]
3 years ago
6

What is the solution set of {x | x < -5} ∩ {x | x > 5}

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

The answer is: {x | x < -5} ∩ {x | x > 5}= { }.

Step-by-step explanation:

Let us first list the elements of the first set.

{x | x < -5} reads x is an element such that x is less than -5. So we list all the integers less than -5.

{x | x < -5}= {-6,-7,-8,-9,-10,-11,-12,-13,-14,...}

Similarly, we find the elements of the second set which reads: x is an element such that, x is greater than 5.  So we list all integers greater than 5

{x | x > 5}=  {6,7,8,9,10,11,12,13,14,...}

Finally we are required to find the numbers or elements in both sets that intersect or are the same with each other.

Since no element in both sets listed above intersect each other, the solution is an empty set:

Therefore, {x | x < -5} ∩ {x | x > 5}= { }.

You might be interested in
Is 7/9 greater than or less than 0.6
LekaFEV [45]
7/9 is greater because if you divide the fraction you will get 0.77777777...
(Which will go on forever)

compare:  
        (< or >)  
0.7      ?      0.6

Well, by looking at both of them, you can easily tell that 0.7 is greater and 0.7=7/9, therefore, 7/9 is greater 

6 0
3 years ago
A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?
Tasya [4]

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0
3 years ago
Read 2 more answers
Question: State whether each table of values represents a function​
Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

  • As we know that the values in the table represent a function​ only if there there is only 1 input for every output.

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

3 0
3 years ago
80 percent of 230 is the same as 25 percent of what number?
vredina [299]

Answer:

736

Step-by-step explanation:

.8x230=184, 184x4=736

7 0
3 years ago
Read 2 more answers
For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? 3 28
Oliga [24]

Answer:

The value of x is \frac{7}{4}.

Step-by-step explanation:

It is given that the inverse variation equation is

xy=k                  ..... (1)

The value of y is 4 and the value of k is 7.

Substitute y=4 and k=7 in equation (1).

x\times 4=7

Divide both sides by 4.

\frac{x\times 4}{4}=\frac{7}{4}

x=\frac{7}{4}

Therefore the value of x is \frac{7}{4}.

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1/2(4x-2)-2/3(6x+9&lt;4
    8·1 answer
  • Hiiii, can someone plz help me?
    14·1 answer
  • I need help with this problem ASAP please i have until tmrw to finish my course entirely so if anyone can help it would be great
    9·1 answer
  • What is the slant height for the given pyramid to the nearest whole unit?
    8·2 answers
  • 4m – 3(m + 1) – 4 &lt; 0
    8·1 answer
  • Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
    11·1 answer
  • Which is the best approximation for the solution of the system of equations? y=-2/5x+1 y=3x-2
    12·1 answer
  • The hour hand of a clock is 3 feet long. How many feet does
    15·1 answer
  • How can you tell if a formula represents Length, an Area, or Volume? What do you look for in the formula?
    6·1 answer
  • Pythagorean theorem HELP PLZ i am doing other ones can you plz do this one
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!