Solving First Degree Inequalities
Equalities when things are equal
Inequalities when things are not
equal
X > 6 any number that x takes
must be greater than 6
X<=3 any number less than or
equal to 3
What would that look like on a number line?
Open circles represent greater than/less than
Closed circles represent less/greater than or equal to.
3x - 2 < 13
to solve this treat it like a normal equation. Isolate for x.
3x - 2 + 2 < 13 + 2
3x < 15
x < 5 Test using LS/RS
Graph on a number line to represent the equation
|
> 5 |
|
|
> 4(5) |
|
|
> 20 |
check using LS/RS |
5x |
> 20 |
|
x |
> 4 |
|
WHEN YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER YOU CHANGE
THE SIGN.
|