
Linear inequalities - Graph
Presentation
•
Mathematics
•
11th Grade
•
Hard
Sandhya Sharma
Used 4+ times
FREE Resource
4 Slides • 6 Questions
1
Linear inequalities - Graph
Representing Linear Inequalities in Cartesian System
2
→ Rules to draw a graph for linear inequality
keep the equality in the inequality and find compatible values of the unknown variables (here x,y)
Eg: - for inequality 4x+2y ≥ 8 we consider 4x +2y = 8
for x = 0 → 4(0)+2y=8 → 2y=8 → y = 4
for y = 0 → 4x +2(0)=8 → 4x=8 → x = 2
3
The value table for the variables
x 0 2
y 4 0
now, to plot the graph
4
5
Multiple Choice
When for slack inequality ( ≥ ) we include the line drawn , would we include it if it was a strict inequality?
yes
no
only intersection points will be included
6
Multiple Select
Choose which inequality is solved in the given graph
x > 3
x > 3 , y > 0
x ≥ 3 , y < 0
x ≥ 3
7
Multiple Choice
Which inequality is represented in the graph
x > 3, y > 0
x > 3 y = 0
x ≥ 3, y ≥ 0
x ≥ 3 , y > 0
8
Multiple Choice
identify the inequality
x < 0 , y < x - 2
y > x - 2, x < 0
y > x - 2
y > 0, x > 0 , y ≥ x - 2
9
Fill in the Blanks
the following graph includes
Type answer...
10
Multiple Choice
identify the inequality
x < 0 , y < x - 2
y > x - 2, x < 0
y > x - 2
y > 0, x > 0 , y ≥ x - 2
Linear inequalities - Graph
Representing Linear Inequalities in Cartesian System
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