SOLVING MATH INEQUALITIES

Inequalities are almost the same as equations.  There is a difference though, that these do not have a equal sign, they either have a < (less than) or/and  > (greater than) to find the answer of the sentence. Lets read some of the inicualities.

6 + 4x > 3x - 4   Now this reads six plus four x is greater than three x minus four.   Now if it was writen like this: 6 + 4x < 3x - 4  It would read, six plus four x is less than three x minus four.

LETS SOLVE:

4x + 6 < 18 To solve this inequality, it would be the same as an equation.  we want everything to be at the right of the symbole < .  lets do that WE HAVE: 4x + 6 < 18 so we subtract the six from both sides        4x + 6 < 18             - 6   - 6            leaving us with     4x < 12  now we device 4 from both                                        sides to leave x by itself        4x < 12        4      4                  so now we are left with x < 3.

LETS GRAPH:

This time to graph we will use a line graph.

x < 3, x is less than 3 . so then we start at 3 since x is not equal to 3 then we will be using a open circle to identify that it can get as close to 3 but not all the way to three.

x < 3 since x is less than then it will go to the negatives of three. Now there is another way you can remember what side the arrow would go to write the variable first. as this is x then like in this case the inequality would be less than so it points left, from three. x is left of three in other words.   x < of 3. so it goes < left .

- HOME - ALGEBRA - GEOMETRY - CONVERTIONS - EQUATIONS