Use the drawing tool(s) to form the correct answer on the provided graph. Graph the solution to this system of inequalities in the coordinate plane.

3y>2x=+12
2x+y≤-5

We have the system:

3y>2x+12

2x+y≤-5

The first step will be to write the inequalities as lines:

y  > (2x + 12)/3

y ≤ -5  - 2 x

Now that the equations are written in slope-intercept form, we just need to draw the lines.

In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.

In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.

The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.