Warm up
The basketball team scored a total of 79 points last game.
They made 35 shots, including 2-point shots and 3-point
shots. How many 2-point shots did they make? How many 3point shots?
Sep 24­3:10 PM
Oct 23­9:07 AM
Oct 23­9:07 AM
Solving Systems of Inequalities
EQ: How do I use graphs to justify the solution
set to a problem with constraints?
Sep 8­9:56 PM
Graphing Systems of Inequalities:
Step 1: Isolate both equations for y.
Step 2: Identify your slopes and intercepts.
Step 3: Graph the lines as a solid line if ≤ and ≥ or as a
dotted line if < or >.
Step 4: Test a point not on each line. If true, shade on the
same side as the test point. If false, shade on the opposite
side.
Step 5: The solution is the intersection of both shaded
regions.
Sep 8­10:16 PM
Ex. A
3x + 6y > 24
2x - 3y ≤ 6
Sep 8­10:23 PM
Ex. B
x + 4y ≤ 12
x ≥ -3
Sep 8­10:23 PM
Ex. C
4x + 4y < 4
3x + 3y ≥ 12
Sep 8­10:23 PM
A bicycle shop sells road bikes and town cruisers. It takes 2 hours to
assemble a road bike. It takes 1 hour to assemble a town cruiser. There is
a maximum of 60 hours to complete the assembly for the week. After
assembly, for safety reasons the assembly needs to be checked and
tested. It takes 1/2 an hour to check the road bikes and 1/4 hour to
check and test the town cruisers. There is a maximum of 20 hours to
complete these tasks. What is the system of inequalities that represents
this scenario? (Use x and y for your variables but define them clearly).
What is the graph of the solution set?
http://go.hrw.com/math/midma/gradecontent/manipulatives/GraphCalc/gr
aphCalc.html
Oct 23­8:51 AM
Oct 24­9:40 AM