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```3.2 Solving Inequalities Using
+/Objective: SWBAT solve inequalities
Mini Quiz 20
1.
Graph x &lt; 4
0
2.
Is 2 a solution to 4n – 3 &lt; 5?
3.
When you graph, how do you tell if the dot is
open or close?
4.
When you graph, how do you tell which side to
Overview


subtraction
Solving and checking solutions
Quick Review
1. When you graph, how do you tell if the dot is
open or close?
close when it’s &lt; or &gt;
open when it’s ≤ or ≥
2. When you graph, how do you tell which side to
when x is smaller (&lt; or ≤), shade to left
when x is bigger (&gt; or ≥), shade to the right
Solve and graph each inequalities
1. x – 3 &lt; 5
1. Check Computation 2.
+3 +3
x–3=5
8–3=5
x&lt;8
5 = 5
0
Check Inequality
x–3&lt;5
7–3&lt;5
4 &lt; 5
8
Solve and graph each inequalities ( solutions)
x&lt;2
1. x + 3 &lt; 5
m&gt;2
2. m – 6 &gt; -4
x ≥ -4
3. 1 ≤ x + 5
n≤5
4. n – 7 ≤ -2
0
Application
5. The maximum safe load of a chairlift is 680 lb.
A cyclist rides the chairlift with his bicycle.
The cyclist weights 124 lb, and the bicycle
weighs 32 lb. Which inequality best describes
how much additional weight w the chairlift
could safely carry?
a) 124  w  680  32
b) 32 w  680  124
c) 124  32  w  680
d) 124  32  w  680
Solve and graph each inequalities ( solutions)
y &lt; -3.2
6. -4.1 &gt; y – 0.9
m ≤ -3.5
7. m + 2.3 ≤ -1.2
3
8. 4  k 
4
k ≤ 19/4
0
Wrap Up

Solve inequalities by


+/-
Check solutions


 computation
 inequality
HW: P. 132 #1 – 37 EOO,
#43 – 55 EOO, 65 – 69 odd
Write DLUQ for the notes.
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