Question

Which graph represents the given inequality 3x-5y -5

Answer 1

The given inequality is uncompleted.

However, we can solve each possible case,

If the inequality is
`3x-5y<-5`, then the graph would be like the first image attached. The solution is the shaded area, which means that all pairs
`(x,y)` that are solutions must be above the line. It's important to notice that the line is not solid, this is because the inequality symbol
`<` doesn't include all values on the line.

If the inequality is
`3x-5y>-5`, then the graph would be like the second image attached. You can observe that the solution here is the opposite shaded area, that's because we have now the opposite inequality sign.

If the inequality is
`3x-5y\leq -5`, the graph would be like the first case, but with the difference of having a solid line.

If the inequality is
`3x-5y\geq -5`, the graph would be like the second case, but with the difference of having a solid line.

Answer 2

The inequality 3x-5y ≥ 5 when plotted in an x-y graph, change the inequality with an equal sign to determine the x-y values.

3x -5y = 5

x y
-2 -11/5
-1 -8/5
0 -1
1 -2/5
2 1/5

Plot these point in the graph and this will represent the inequality, shade the upper portion of the graph including the curve represented by the inequality.