2. Vocabulary:
• inequality: a mathematical sentence
formed by placing an inequality symbol
between two expressions.
• graph of an inequality: is the set of points
that represent all solutions of the
inequality.
• equivalent inequalities: inequalities that
have the same solution.
3. Graphing:
• x>1 greater than open dot
• x<1 less than open dot
• x ≤1 less than or equal solid dot
• x ≥ 1 greater than or equal
solid dot
4. Example 1:Write and graph an inequality
that describes the situation
1.)The speed limit on the road is 45 miles
per hour.
2.) A child must be taller than 40 inches to
get on Space Mountain.
5. Example 2 Write inequalities from graphs
Write an inequality represented by the graph.
a.
SOLUTION
The shading includes all numbers to the right of
(greater than) – 6.5.
ANSWER
An inequality represented by the graph is x > – 6.5.
6. Example 2 Write inequalities from graphs
Write an inequality represented by the graph.
b.
SOLUTION
The shading includes 4 and all numbers to the left of
(less than) 4.
ANSWER
An inequality represented by the graph is x ≤ 4.
7. Example 3 Solve an inequality using subtraction
Solve 9 ≥ x + 7. Graph your solution.
9 ≥ x +7 Write original inequality.
.
