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
lozanna [386]
3 years ago
8

How does graphing linear inequalities differ from graphing linear equations?​

Mathematics
1 answer:
Ivan3 years ago
6 0

Explanation:

When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.

The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.

When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.

Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:

  • x > ...   or   x ≥ ...   ⇒ shading is to the right of the boundary
  • y > ...   or   y ≥ ...   ⇒ shading is above the boundary

Otherwise, the shaded solution space will be below or to the left of the boundary line.

_____

Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.

_____

The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.

You might be interested in
Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, EF is 2.25 inches, and HK is 9 inches?
kap26 [50]
DF=3.4 because it's congruent to GK
4 0
3 years ago
Round 7.5066 to the nearest hundredth
Dovator [93]

Answer:

7.51

Step-by-step explanation:

the hundredth place is the place 2 after the decimal. if the number after that is 5 or more, you round the number up, and if it is four or less you round the number down. so, it would be 7.51

6 0
3 years ago
Read 2 more answers
4 (x+2)=2 (x+3)+2 (x-1) answer?
vekshin1

4(x+2)=2(x+3)+2(x-1)\\\\use\ the\ distributive\ property:\ a(b\pm c)=ab\pm ac\\\\(4)(x)+(4)(2)=(2)(x)+(2)(3)+(2)(x)-(2)(1)\\\\4x+8=2x+6+2x-2\ \ \ \ |simplify\\\\4x+8=(2x+2x)+(6-2)\\\\4x+8=4x+4\ \ \ \ |-4x\\\\8=4\ FALSE!!!\\\\Answer:\ NO\ SOLUTION\ (x\in\O)

4 0
3 years ago
there are 11 pieces of pie left over in the cafeteria. if 6 pieces are apple and 5 are cherry, what fraction of the remaining pi
Leto [7]

Answer:

\frac{6}{11}

Step-by-step explanation:

we know that

To find what fraction of the remaining pieces are apple, divide the remaining  pieces of apple by the  total remaining pieces

we have that

the remaining  pieces of apple is equal to 6

the  total remaining pieces is 11

so

\frac{6}{11}

8 0
3 years ago
When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the _
zalisa [80]

When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the product of the number of values of each event. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
Other questions:
  • Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson t
    15·1 answer
  • Can you PLEASE HELP ME I need al of the answers PLEASE
    12·1 answer
  • Multiple Choice, could somebody help me with this?
    6·1 answer
  • Help! I need a=? And r=?% if I don't get my grade up I can't star drivers ed
    8·1 answer
  • 4000-1375 and I need work
    9·1 answer
  • How old George Washington?? Pls lmk I need ASAP
    14·1 answer
  • Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resource​ pro
    15·1 answer
  • A new motorcycle has a value of $8000 every year is value decreased by $500 which function can be used to find why the value of
    12·1 answer
  • Pls answer asap :)
    13·2 answers
  • HELP, PLATO!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!