Question

Solve the inequality for y, and identify the graph for the solution. -3y< 6x-18

Answer 1

We have the next inequality

-3y< 6x-18

We need to isolate the y because the y is multiplying a negative number the sense of the inequality will change

$y>\frac{6x-18}{-3}$

we simplify and we solve the inequality for y

$y>-2x+6$

Let's calculate now some points of the boundary line

the boundary line is

$y=-2x+6$

If x=-2

y=-2(-2)+6=4+6=10

Point (-2,10)

If x=0

y=-2(0)+6=6

Point (0,6)

if x=2

t=-2(2)+6=-4+6=2

Point (2,2)

Then the boundary line will be a dashed line because we have a a sign greater than and the solution area will be above this boundary line

Therefore the graph of this inequality