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Linear inequalities - Graph

Linear inequalities - Graph

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Hard

Created by

Sandhya Sharma

Used 4+ times

FREE Resource

4 Slides • 6 Questions

1

Linear inequalities - Graph

Representing Linear Inequalities in Cartesian System

Slide image

2

 →\rightarrow  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 ≥\ge  8                     we consider  4x +2y = 8

  • for x = 0  →\rightarrow  4(0)+2y=8 →\rightarrow  2y=8 →\rightarrow  y = 4

  • for y = 0 →\rightarrow  4x +2(0)=8 →\rightarrow  4x=8 →\rightarrow  x = 2

3

The value table for the variables

  • x     0        2

  • y     4        0

  • now, to plot the graph

4

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5

Multiple Choice

When for slack inequality (   ≥\ge  ) we include the line drawn , would we include it if it was a strict inequality?

1

yes

2

no

3

only intersection points will be included

6

Multiple Select

Question image

Choose which inequality is solved in the given graph

1

x > 3

2

x > 3 , y > 0

3

x  ≥\ge  3 , y < 0

4

x  ≥\ge  3

7

Multiple Choice

Question image

Which inequality is represented in the graph

1

x > 3, y > 0

2

x > 3 y = 0

3

x ≥\ge 3, y ≥\ge 0

4

x ≥ 3 \ge\ 3\ , y > 0

8

Multiple Choice

Question image

identify the inequality

1

x < 0 , y < x - 2

2

y > x - 2, x < 0

3

y > x - 2

4

y > 0, x > 0 , y ≥\ge x - 2

9

Fill in the Blanks

media image

the following graph includes

Type answer...

inequalities

10

Multiple Choice

Question image

identify the inequality

1

x < 0 , y < x - 2

2

y > x - 2, x < 0

3

y > x - 2

4

y > 0, x > 0 , y ≥\ge x - 2

pattern-tertiary

Linear inequalities - Graph

Representing Linear Inequalities in Cartesian System

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