Question

What is the graph of 3y-5x<-6?

Answer 1

look at the calculator.

Answer 2

Step-by-step explanation

We want to graph the inequality:

`3y - 5x \: < \: - 6`

To this inequality, we must first of all graph the corresponding linear equation:

`3y - 5x = - 6`

When x=0, we have

`3y - 5(0) = - 6`

`3y = - 6`

y=-2

We plot the point (0,-2)

When y=0,

`3(0) - 5x = - 6`

`x = (6)/(5)`

`( (6)/(5) ,0)`

We plot the points and draw a dashed straight line through them.

We test for (0,0).

`3(0)- 5(0)\: < \: - 6`

`0 < \: - 6`

This is false hence we shade the lower half plane. See attachment.