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

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )