Question

Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Answer 1

Answer:

this is graph

Step-by-step explanation:

chun ja here

Answer 2

Answer:

The graph is attached below

Step-by-step explanation:

For the given graph,

we will plot the values

for  y ≥ 2x + 1

let us assume y = 2x + 1

when x = -1   0    1   2

         y = -1    1    3   5

Therefore we will have to plot (-1,-1) , (0,1) , (1,3) , (2,5)

Substituting (0,0) in the equation, we get,

0 = 0+1 which is false therefore, the graph of  y ≥ 2x + 1 is the area not containing the origin.

for  y ≤ 2x – 2

let us assume y = 2x - 2

when x = -1    0    1    2

         y = -4   -2    0   2

Therefore we will have to plot (-1,-4) , (0,-2) , (1,0) , (2,2)

Substituting (0,0) in the equation, we get,

0 = 0-2 which is false therefore, the graph of  y ≥ 2x - 2 is the area not containing the origin.

The graph is attached below