Linear+Inequalities

Inequalities can be written in words, drawn on a graph or it could be written as a math equation.

=Solving Linear Inequalities for x=

Ok so, when solving a linear inequality you can't let the symbols confuse you, treat the inequality symbol the same way you would an equal sign.

For example: 27<7x+3

27<7x+3 __-3 -3__ __24__<__7x__ 7 7 3.42-4x+6 35>-4x+6 __-6 -6__ __29__>__-4x__ 4 -4 9.75>-x -9.7565

4x+2y>65 __-4x -4x__ __2y__ > __64-4x__ 2 2 y > 32- 2x

Another example (by Emma) 2y+4x>10 -4x -4x 2y>4x-10 /2 /2 y> 2x-5

This form of equation is usually used on a graph. Remember when your putting it on a graph write it as y=32-2x in the first beginning and show the rest of the information later on.

=__**"Or" statements**__= some "or" statements can be like I play games before 4 or after 7 I eat before 5 or after 9

=**Graphing Inequalities**= There are some symbols that you need to know before you graph. = equals ≠ doesn't equal < less than >greater than ≤ less than or equal to and ≥ greater than or equal to. Another important thing to remember is that there are 3 ways to write an inequality so you graph them in the right manner. A basic one x > 4 When you graph these statements they also show up in 3 different ways. so in x > 4 there would be an open dot on the 4 and an arrow pointing to the higher numbers. in 4 < x ≤10 there would be an open dot on the 4 and a line to the 10 with a closed dot on the 10. in x < 4 or 10 ≤ x there would be an open dot on the 4 and an arrow pointing to the lower numbers and a closed dot on the 10 and an arrow pointing to the higher numbers. Linear Equations- By Narcissa Haskins They cannot have exponents or powers, You cant multiply are divide
 * AND** statement 4 < x ≤10
 * OR** statement x < 4 or x ≥ 10

Linear Equalities by:Dyamond Logan

Linear inequailties are equations that contain one or more variables. or in smaller and simpler terms a linear inequality is nothing but, everything on //**ONE s**//ide of a line on a graph.

Here is an example of after graphing inequalities:



Before you can understand the linear inqualities you must first have a good understanding of the graph of a line such as the y-intercept. However there is a program on every Macbook that shows how to graph linear inequalities it is known as //**Grapher**//.