Question

Graph the solution set for this -6x-3y<-18

Answer 1

Answer: See the graph attached.

Explanation:

The equation of the line in slope-intercept form is:

`y=mx+b`

Where:

m: slope.

b: y-intercept.

Solve for y:

`-6x-3y<-18\\-3y<6x-18\\\\y<(6x)/(3)-(18)/(3)\\\\-y<2x-6\\`

When you multiply by -1, the direction of the symbol changes. Then:

`(-1)-y<(2x-6)(-1)\\y>-2x+6`

Then:

-You must graph the line:

`y=-2x+6`

Which has the slope -2 and intersects the y-axis at y=6

(The line is dashed for symbols < and > )

- Shade the region above the line (Because the symbol is >)

Therefore, you obtain the graph shown attached.