Question

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

Answer 1

Answer:

look at the calculator.

Answer 2

ANSWER

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,

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

$x = \frac{6}{5}$

$( \frac{6}{5} ,0)$

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.