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