Question and answer
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?
It can have none, one, or infinitely many. Here's a system with no solutions: x 5. Here's a system with one solution: x =3. [ ( = mean "less than or equal" and "greater than or equal") And here's a system with infinitely many solutions: x < 3 and x < 2. In order to satisfy both inequalities, a number must be in both solution sets. ]
Get an answer
Original conversation
User: How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?





Weegy: It can have none, one, or infinitely many. Here's a system with no solutions: x 5. Here's a system with one solution: x =3. [ ( = mean "less than or equal" and "greater than or equal") And here's a system with infinitely many solutions: x < 3 and x < 2. In order to satisfy both inequalities, a number must be in both solution sets. ]
Expert answered|bhebhekoh|Points 60|

User: Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

Question
Asked 10/25/2012 10:34:46 PM
0 Answers/Comments
New answers
Rating

There are no new answers.

Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
Questions asked by the same visitor
State one advantage that the method of substitution has over the intersection-of-graph method.
Weegy: In case the solutions are not perfect integers you make get more approximate value in substitution method then the intersection of graph method (More)
Question
Expert Answered
Asked 10/18/2012 8:39:26 PM
0 Answers/Comments
When applying the method of substitution, how do you know that there are no solutions?
Weegy: If while solving a system of equations we get an inequality like 1=0 Since 1 is not equal to 0 the right side of the equation we can conclude the system of equations has no solution User: When applying the method of substitution, how do you know that there are infinitely many solutions? Weegy: We get to know that the system of equations has infinitely many solutions when the system deduces to an eqwuality like 0=0 Then we have infinite number of solutions (More)
Question
Expert Answered
Asked 10/18/2012 8:48:02 PM
0 Answers/Comments
can you provide an example that uses the substitution method to solve two linear equations.
Weegy: The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, [ "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable. Here is how it works. (I'll use the same systems as were in a previous page.) Solve the following system by substitution. 2x – 3y = –2 4x + y = 24 The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others. For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y: 4x + y = 24 y = –4x + 24 Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x: 2x – 3(–4x + 24) = –2 2x + 12x – 72 = –2 14x = 70 x = 5 Copyright © Elizabeth Sta ] (More)
Question
Expert Answered
Asked 10/18/2012 9:20:41 PM
0 Answers/Comments
How might you explain your answer toequations to someone who has not learned algebra?
Weegy: I would need to start to explain to him the basics of Algebra. I would teach it the way how I understood it and using simple terms that he could easily comprehend. I will provide lots of examples and make him try to answer them. [ [ Students learn best when examples are presented one by one, with increasing complexity. The first Algebra example problem that you work should be extremely simple so that every single student in the room will completely follow it. This builds their confident which will be very important for the remainder of the lesson. One by one, you increase the difficulty of the Algebra problems that you solve on the board. It is important not to choose problems that jump ahead in difficulty too far ahead of the previous problem. If the teacher did this, he or she would lose some students quickly. By choosing Algebra problems in a gradual progression of complexity, you can hold the student's attention all the way to the end of the lecture, building their confidence along the way. ] ] (More)
Question
Expert Answered
Asked 10/25/2012 11:11:29 PM
0 Answers/Comments
how do i use the product rule to simplify this expression 8^5·8^2
Weegy: When multiplying exponents with the same base, you simply add the exponents. 8^5*8^2 = 8^7 (More)
Question
Expert Answered
Asked 10/26/2012 2:15:26 PM
0 Answers/Comments
17,933,760 questions answered
Popular Conversations
Manhattan Island is __________. A. the largest island in Canada B. ...
Weegy: the manhattan island is the most highly populated island in north america. letter D would be the best answer. ...
10/22/2014 8:51:05 AM| 9 Answers
Arabian glass, which authorities believe appeared in the second half ...
Weegy: Obsidian, which was used by early man to make arrowheads, is a naturally occurring glass. 'which was used by ...
10/22/2014 10:45:16 AM| 3 Answers
What is the center of the circle that has a diameter whose endpoints ...
Weegy: The center of the circle that has a diameter whose endpoints are (2, 7) and (-6, -1) is (-2, 3) User: ...
10/22/2014 10:50:52 AM| 3 Answers
Perform the indicated operation. (8c 2 - 2c - 15) ÷ (4c + 5) = ...
Weegy: 3-3 = 0 User: Cool Scoops ice cream shop offers 60 different one-topping sundaes. If there are 12 flavors of ...
10/22/2014 11:16:59 AM| 3 Answers
Which kingdom contains only ...
Weegy: Which kingdom contains only producers? - D. Plantae
10/22/2014 7:29:36 AM| 2 Answers
Which words in the sentence make up the adjective phrase? Which word ...
Weegy: Which words in the sentence make up the adjective phrase? Which word does the adjective phrase modify? Bees ...
10/22/2014 9:30:59 AM| 2 Answers
Weegy Stuff
S
L
1
1
1
1
L
1
L
Points 2349 [Total 14724]| Ratings 0| Comments 2349| Invitations 0|Offline
S
L
1
L
P
C
1
P
C
1
L
Points 1526 [Total 11007]| Ratings 4| Comments 1486| Invitations 0|Online
S
1
L
1
L
P
P
L
Points 823 [Total 13052]| Ratings 0| Comments 823| Invitations 0|Offline
S
L
Points 524 [Total 1923]| Ratings 0| Comments 524| Invitations 0|Offline
S
1
L
L
Points 483 [Total 6277]| Ratings 3| Comments 453| Invitations 0|Offline
S
Points 482 [Total 482]| Ratings 0| Comments 452| Invitations 3|Offline
S
Points 414 [Total 415]| Ratings 6| Comments 354| Invitations 0|Offline
S
Points 251 [Total 251]| Ratings 1| Comments 241| Invitations 0|Offline
S
P
C
L
P
L
1
Points 48 [Total 6282]| Ratings 0| Comments 48| Invitations 0|Offline
S
Points 27 [Total 27]| Ratings 0| Comments 27| Invitations 0|Offline
Home | Contact | Blog | About | Terms | Privacy | Social | ©2014 Purple Inc.