Question

What is the graph of the inequality 3x+2y>-5

Answer 1

the graph above is how the inequality looks. I highly recommend you download an app called "desmos" for any questions you have about graphs.

Answer 2

The graph is shown in attachment.

Explanation:

we have to draw a graph of the inequality

3x+2y>-5

The following steps are:

Step 1: Rearrange the equation such that "y" is on the left side and rest on the right.

3x+2y>-5

⇒
`2y>-5-3x` ⇒
`y>(1)/(2)(-5-3x)`

Step 2: Plot the
`y>(1)/(2)(-5-3x)` line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

. Here, dashed line is drawn.

Step 3: Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

The graph is shown in attachment.