To solve linear
inequalities follow the same procedure used for linear equations,
but remember that the direction of the inequality should be reversed
if you multiply or divide both sides of an inequality by a negative
number. We now list three inequality properties below:
Example
1)Solvethe
inequality
7x - 3 > 5x + 9
Solution:
Grouping
the x on the left side
7x - 5x > 9 + 3
Collecting
like terms
2x > 12
Dividing
by 2
x > 6
Answer:
x
> 6
Example
2)
Solve the inequality3(2x
- 5) + 4 < 2(5x + 3) + 3
,
use interval notation to write your answer.