Question

Use the drawing tools to form the correct answer on the provided graph. Graph the solution set of this inequality: 3x-2y ≥12

Answer 1

The required graph of the inequality 3x - 2y ≥ 12 is attached

Some features of the inequality graph

The inequality can be represented as a straight line equation in slope intercept form:

The slope intercept form of the equation is equation having the form:

y = mx + c

where

m is the slope

c is the y-intercept

Rewriting the equation to slope intercept form

3x - 2y ≥ 12

Subtract 3x from both sides of the equation

-2y ≥ 12 - 3x

Divide both sides with -2

y ≤ -6 + 3/2 x

We can say that:

• the slope of the line is 3/2,

• the y intercept of -6 and

• the shading is below the line, since the inequality is less than