Question

could someone show me the shading of this and dotted and solid lines

4x – 3y > –21
5x + 6y is greater than or equal to 72

Answer 1

If it's ≤ or ≥, then the line is solid.
If it's < or >, then the line is dotted.
For shading, plug in the origin to see if it's true. If it's true, the side with the origin is shade. In a system of inequalities, shade in only the part in which both inequalities are true.

Answer 2

could you show me on the draw thing i made in into slope int and graphed it but don't knw the shade or dotted

Answer 3

Calcmath explained it. use a dotted line if the values on the line are not included in the solution. For example, if you have
x>0, you plot the line x=0, but use a dotted line because x=0 is not allowed.
then pick a test point for example x=1, y=0. If the relation is true, shade the side of the line with the test point, otherwise, shade the other side.