'Polynomial Inequalities' Algebra Worksheet Page 2
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1
2Exercises:
Solve the polynomial inequalities algebraically (using a number line – also known as a sign chart ).
Remember to always get 0 alone on one side of the inequality sign.
Write your answer in interval notation.
2
1.
5
x
11
x
12
0
+
−
≥
2
2.
14
−
13
x >
12
x
2
3.
2
x
+
1
≥
0
3
2
4.
4
m
+
7
m
−
2
m
>
0
2
5.
1
+ x
≤
0
5
2
(
) 2
3 (
)(
) 1
0
6.
x
−
−
x
x
+
<
Notice patterns of negatives and positives. How does a negative in front of the x affect this pattern?
5
2
7.
(
x
−
) 2
3 (
−
x
)(
x
+
) 1
≥
0
(
)
3
4
8.
2
x
−
1
3 (
x
−
) 1
(
x
−
) 1
<
0
Use patterns instead of testing particular values.
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