What are two major differences? How can you tell if a point is a solution to an inequality.

Is (2,3) a solution to the inequality 8x-3y>14

What are two major differences? How can you tell if a point is a solution to an inequality.

Is (2,3) a solution to the inequality 8x-3y>14

Tutors, please sign in to answer this question.

Woodland Hills, CA

8x - 3y = 14

Is an equation of a straight line, and shows graphically coordinates all point located on the line.

8x - 3y > 4

However shows the region of a plane away from the line in which

8X -3y > 4 / the coordinates of the points where 8x -3y is greater than 4 , which is the part of the plane located in the left of the line.

Austin, TX

Linear equations & linear inequalities are similar in that they are graphed as straight lines, with slope, y-intercepts, etc. As such, both can be understood, factored, and solved in the same ways. A major difference is that a linear equation has solutions that are on the line, while solutions of a linear inequality are not on the line. Often, a linear inequality indicates that the solution is "greater than" or "less than" the given expression, in which case the solution occupies part of a plane on one side of the line. When the expression indicates simply "not equal to," then the solution is both parts of the same plane except those points on the indicated line. It follows that "greater than or equal to" & "less than or equal to" will also include the points on the line as part of the solution. Linear equations, however, can have only those solutions represented by the points on the line.

In a linear inequality, such as the one you posted, all solutions will fall in the same plane & on the same side of the line.

In a linear inequality, such as the one you posted, all solutions will fall in the same plane & on the same side of the line.

Orlando, FL

Please see my video (see "Videos" section -- just submitted) hope it helps

Arkady E.

Math PhD Student and College Instructor

New York, NY

5.0
(133 ratings)

Randy R.

Middle and High School Math, Chemistry, General Science

Nutley, NJ

4.9
(127 ratings)

John E.

Physics and Math tutor - Masters from Cornell and Columbia University

New York, NY

4.8
(124 ratings)

- Algebra 1 3048
- Graphing Linear Equations 45
- Math 6771
- Graphing Linear Inequality 22
- Algebra 3773
- Word Problem 3763
- Math Help 3989
- Linear Algebra 111
- Equations 542
- Linear 111

Find a tutor fast. Get the app.

Are you a tutor? Get the app for tutors

© 2005 - 2016 WyzAnt, Inc. - All Rights Reserved