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
Alex
3 years ago
12

Which graph represents the solution to the system of inequalities? x + y ≤ 4 y – x ≥ 1

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Given inequalities are

x+y\le4 and

y-x\ge1

Now we will graph both inequalities to get the common region which represents solution.

<u>Work for x+y\le4 </u>

first we graph the line x+y=4 then shade the graph for inequality symbol \le

we can plug any random number for x and find y-value to get points

lets plug x=0 then we get:

x+y=4

0+y=4

y=4

so the point is (0,4)

Similarly we can find more point like (4,0).

Now graph both points and join both points by straight line.

Now we find direction of shading.

pick any test point which is not on that line x+y=4 say (0,0)

and plug it into orinal inequality x+y\le4

0+0\le4

0\le4

which is true.

True means shade in direction of test point. Otherwise we shade in opposite direction.

We will repeat same process for other inequality to graph that.

Hence final graph for the answer will be as shown in attached image.

Triangular region ABC is final answer.

You might be interested in
What is the mean of the following set of numbers? 12, 14, 2, 12
Ratling [72]
The mean is 10 because you will add all the numbers and then divide the answer by 4
8 0
2 years ago
Read 2 more answers
What is the value of f(x) when x=3?<br> -3<br> o -2<br> o 1<br> O
Svetach [21]
The answer is -3 darling
3 0
3 years ago
At a school the number of boy to girls is 11:9 there are 124 more boys than girls work out the total number of students at the s
12345 [234]

Answer:

1240

Step-by-step explanation:

the explanation is very long but I hope this is correct!

5 0
3 years ago
X+ 0.0825×=216.50 A.) x=2.00 B.) x=20.0 C.) x=200 D.) x=2000
Luden [163]
X+0.0825x=216.5
1.0825x=216.5
x=216.5 / 1.0825
x=200

Answer: C.)  x=200
8 0
3 years ago
Over the course of 3 days, Calvin spent 10 hours delivering newspapers. He spent the same amount of time each day delivering new
butalik [34]
I think the answer is d hope this help
4 0
2 years ago
Other questions:
  • What is the value of x? Assume that the line is tangent to the circle.
    6·2 answers
  • What is the prime number 14 13 21 33
    9·1 answer
  • The point (5, -2) is rotated 90° about the origin. Its image is:
    15·1 answer
  • An experiment involves 31 participants. From these, a group of 5 participants is to be tested under a special condition. How man
    15·1 answer
  • What is 3(x-5)-14=2(x-7)+2
    8·1 answer
  • If Q is between A and M and MQ = 12.5 and AM = 20.5, then QA =
    12·1 answer
  • N - 8, when n = -8<br> please do this asap
    12·1 answer
  • Whats 6 desks in 2 rows as a unit rate? :) if u respond tysm
    10·1 answer
  • Rosalinda is drawing a picture for her mom. She has a box of
    8·1 answer
  • Integral of x"2+4/x"2+4x+3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!