Transcript 6.5 Solving Inequalities by Factoring

6.5 Solving
Inequalities by
Factoring
Steps to Solve
 To solve an inequality by factoring, treat the inequality like an
equal
equal
sign and solve. Make sure to set the equation
zero
to
first
 These are the solutions to plot on the number line.
 Use an
for

open
or
dot for
 .

or

and a
closed
 Then, test a point in each region. If it makes the statement
true
, shade that region.
 Write your solution as an inequality.
dot
Solve each inequality and graph
the solution set.
1.
d  9d  14  0
2
2.
y2  4 y  5
Solve each inequality and graph
the solution set.
3.
x  9x
3
4.
x  3x  10
2
Solve each inequality and graph
the solution set.
5.
5 f  180  0
2
6.
4w  25w  20w
3
2