Linear inequalities - Graph

Linear inequalities - Graph

Representing Linear Inequalities in Cartesian System

 $\rightarrow$  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

The value table for the variables

• x     0        2

• y     4        0

• now, to plot the graph

Multiple Choice

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

• yes

• no

• only intersection points will be included

Multiple Select

Choose which inequality is solved in the given graph

• x > 3

• x > 3 , y > 0

• x  $\ge$  3 , y < 0

• x  $\ge$  3

Multiple Choice

Which inequality is represented in the graph

• x > 3, y > 0

• x > 3 y = 0

• x $\ge$ 3, y $\ge$ 0

• x $\ge\ 3\$ , y > 0

Multiple Choice

identify the inequality

• x < 0 , y < x - 2

• y > x - 2, x < 0

• y > x - 2

• y > 0, x > 0 , y $\ge$ x - 2

Fill in the Blanks

Multiple Choice

identify the inequality

• x < 0 , y < x - 2

• y > x - 2, x < 0

• y > x - 2

• y > 0, x > 0 , y $\ge$ x - 2