2-1 Solving Inequalities in One Variable
Guided Notes and Practice
WALT…to solve simple inequalities in one variable.
Properties of Order
Let a, b, and c be any real numbers.
Comparison Property:
Transitivity Property:
Addition Property:
Multiplication Property:
Transformation that Produce Equivalent Inequalities
1.
2.
3.
4.
**To check whether the direction of the inequality in your answer is correct, choose a test
point and see if it satisfies the given inequality.**
HOMEWORK Page 62-63 (1-31 odd, mixed review)
Guided Examples
Solve and Graph
3
1.
3𝑥 + 16 < 7
2.
11 − 2 𝑟 > −4
3.
3(4𝑧 − 1) > 2(6𝑧 − 5)
4.
3 − 2(𝑞 − 1) < 5
5.
−(10 − 𝑟) < 𝑟 − 15
7.
− 2 𝑎 − 19 > −15
ON YOUR OWN
4
4
6.
𝑘 − 8 > 8− 5𝑘
5
1
8.
8 − (2𝑏 − 3) < 2𝑏 − 3
9.
𝑝 − (7 − 𝑝) > 2𝑝 + 1
10.
5 − 2(−𝑧 − 4) > 𝑧 − (𝑧 − 1)
11.
2.7(3𝑣 − 8) > 7.2(8𝑣 − 3)
HOMEWORK Page 62-63 (1-31 odd, mixed review)