Graphing Linear Inequalities Steps for Graphing an Inequality:
alone. You must flip the inequality symbol if you multiply or divide by a.
2. Identify the
(m) and
1.
Get
number.
(b).
<
3. Graph the line as dotted or solid. (see table to the right)
AL
4. Shade upward
_) or downward
5. Choose a point in the shaded region and ensure that it makes the inequality
Choose a point in the unshaded region
ensure that it makes the inequality
Example 1:
Graph x + y > 1
X
Are the following points in the solution set? Show work or explain.
a) (3,2)
b) (-1,3)
c) (-3,-4)
d) (1,0)
Example 2:
Graph x – 2y 26

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?