10x + 2y > 20
Solution
Step 1: First we have to rewrite the given equation y in terms of x.
Subtract 10 x from both sides, we get
10x - 10x + 2y > -10x + 20
2y > -10x + 20
Divide both sides by 2, we get
y > -5x + 10
Step 2: Now we have to find the coordinates by plugging in the values of for x = -1, 0, 1
and find the corresponding values for y.
Plug in x = -1,
y = -5(-1) + 10 = 5 + 10 = 15.
The coordinates are (-1, 15)
Plug in x = 0, we get
y = -5(0) +10 = 10
The coordinates are (0, 10)
Plug in x = 1, we get
y = -5(1) + 10 = -5 +10 = 5
The coordinates are (1, 5)
Step 3: Now plot the points on a grid and draw the draw the dotted line because it is greater than. Since it is grater than we have to shaded the region above the line.
Note: Attached the graph. Please have a look at it.
Thank you. :)