Transcript System of Inequalities

System of
Inequalities
Warm Up
1. Is the ordered pair (1,6) a solution
to the inequality -3x + 2 y  6?
2. Are the measures of consecutive (same side) angles
congruent or supplementary?
3. Find the length of the missing side of the right
triangle if one leg is 8 cm. and the hypotenuse is
10 cm. (Draw a diagram).
Graphing Linear Inequalities
Follow the steps for
graphing equations,
But…….
…..DON’T DRAW
THE LINE YET!!!!
Inequality Symbols:
TYPE OF LINE
SHADING
SOLID
ABOVE THE LINE
DOTTED
BELOW THE LINE
 
 
 

Review
INEQ
symbol?

•SOLID LINE
•SHADE
BELOW
y  3 x  5
When you graph a
system of inequalities,
you just have to graph
the two inequalities
and look for where the
shading intersects!
Now let’s graph a system!
1
y  x 1
2
y  3x  2
First, graph:
1
y  x 1
2
Now, graph:
y  3x  2
Let’s graph another one!
 4 x  2 y  6
3x  5 y  20
 4 x  2 y  6
 4x
 4x
2 y  4x  6
2 2 2
y  2x  3
3 x  5 y  20
 3x
 3x
 5 y  3x  20
5 5 5
3
y  x4
5
Now graph it to solve!!
y  2x  3
3
y  x4
5
First, graph:
y  2x  3
Now, graph:
3
y  x4
5
Are the following points solutions?
(6,9)
(0,0)
( 4,2)
(0,3)
(8,6)
(1,5)
Tell your neighbor…
What is one possible solution of a system of
inequalities?