Question

How do i graph 10x + 2y > 20

Answer 1

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. :)