Question

Select the graph that corresponds to the following inequality -2x - 3y < 6 ​

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$-2x-3y$

isolate the variable y

$-2x-6$

Rewrite

$3y>-2x-6$

$y>-(2/3)x-2$

The solution is the shaded area above the dashed line

The equation of the dashed line is $y=-(2/3)x-2$

The slope of the dashed line is negative $m=-(2/3)$

The y-intercept of the dashed line is $(0,-2)$

The x-intercept of the dashed line is $(-3,0)$

Plot the intercepts to graph the inequality

see the attached figure