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SOLVING INEQUALITIES
Lesson 2-9 & 2-10
Math Vocabulary Review
Inequality:
A math sentence that compares (<, >, <, >) a point/points on a number line
Review of Graphing Inequalities
a) Graph the given point of the inequality
b) Points Symbol(s)
• (closed) > OR < ◦ (open) > OR <
c) Determine what side of symbol the variable is on…“small” point OR “big” open
d) Choose a number to match the symbol side of variable
e) Graph solutions (arrow) in that direction
m > -4
Solving Inequalities +/-
Similar to solving equations:
Opposite Integer Math
3 < r + 6
- 6 - 6
-3 < r
Graph:
___________________________________________
Solving Inequalities +/-
y – 14 < -26
+ 14 +14
y < -12
Graph:
___________________________________________
Practice
Solve & Graph each inequality:
a) 8 + t < 15 ___________________
b) v – 4 < 7 ___________________
c) t – 5 > 11 ____________________
Solving Inequalities x / ÷
3y < -18
y < -6
Graph: _____________________________________
b > 3
4
b > 12
Graph: ______________________________________
Solving Inequalities x / ÷ (w/ negatives)
When “doing math” with negatives
-3y < -18
y > 6
Graph: ______________________________________
b > 3
-4
b < -12
Graph: _______________________________________
PracticeSolve & Graph each inequality:
a) 4x < 40
b) 36 > -9t
c) m > 2
4
d) 5 < r
-3
Homework
p. 106-109 #3-6, 8, 10, 12, 16, 18, 20, 25-27, 37-39