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
dimulka [17.4K]
3 years ago
9

Please help me with problem 2 of Inequalities in Two Variables

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

With inequalities,

< means less than

> means greater than.

Both are represented by a dotted line.

&le; means less than or equal

&ge; means greater than or equal,

Both are represented by a solid line.

To construct the inequality x<2 we would switch the < to an equal sign, and construct the equality, namely x=2, which is a vertical line passing through (2,0).

From the previous comments, we know that x<2 is a dotted line.

Now we have to decide the inequality applies to which side of the line.

One way is to take some test points, e.g. the origin (0,0) where x=0.

Since x=0 is less than two, we know that (0,0) satisfies the inequality, so the area to the left of the vertical line (x=2) satisfies the inequality.

Hence the proper graph would show the left side shaded, but at x=2, the vertical line should be dotted.

An even simpler rule to find the region is to see that "x < something" is to the left, and "x > something" is to the right of a vertical or a slanted line.


You might be interested in
What is the similarity ratio of the smaller to larger similar cones?
Flura [38]

V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is 
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)
6 0
3 years ago
Read 2 more answers
Paul and Quinn share some money in a ratio 3:2, Paul gets 60 more than Quinn, how much does Quinn get
wlad13 [49]

Answer: 120

Step-by-step explanation:

3+2=5

Let x be the amount of money to be shared

Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x

Therefore

(3/5)x= (2/5)x + 60

(3/5)x - (2/5)x= 60

(x/5)=60

Cross multiply

x= 60*5=300

It means that Quinn’s share is (2/5)(300)= 120

7 0
2 years ago
Read 2 more answers
The sets F and H are given below.
Vinil7 [7]

Answer:

  F ∪ H = {c, d, e, f, g, h}

  F ∩ H = { }

Step-by-step explanation:

The union is the list of elements that are in either of the two sets.

  F ∪ H = {c, d, e, f, g, h}

The intersection is the list of only those elements that appear in both sets. (There are none.)

  F ∩ H = { } . . . . the empty set

4 0
3 years ago
What is the equation of the line that best fits the given data? A graph has points (1, 7), (1, 6), (2, 5), (2.5, 5), (3, 3), (4,
Temka [501]

Answer:

D

Step-by-step explanation:

this is correct on edge

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!! NEED HELP ASAP !!! WILL MARK BRAINLIEST !!!
Aleks04 [339]

Answer:

36 π square feet

Step-by-step explanation:

so the formula for area of a circle is  πr^2

so the radius is 6, which we can just plug in

π(6)^2

36π

so option 3

5 0
3 years ago
Other questions:
  • a boy circles 16 km in an hour and a girl runs 4.4 m in a second which is faster using study of rate​
    13·2 answers
  • Find the volume of a rectangular prism with a length of 3 ¾ meters, a width of 1 ½ meters, and a height of 2 meters. A. 11.25 cu
    15·1 answer
  • Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
    12·1 answer
  • What is the value of the expression below?
    11·2 answers
  • Please answer this question
    10·1 answer
  • PLEASE HELP!
    15·1 answer
  • PLEASE HELP!!!!<br> What is the area of this trapezoid enter your answer in the box ?
    11·2 answers
  • The graph of a quadratic function meets the x axis where the x=3 and x=k. if the turning point of the function occurs where x=0.
    11·1 answer
  • Please solve this and give answer
    12·1 answer
  • Which system of equations is graphed below?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!