Question

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

Answer 1

The graph with solution is shown below.

Explanation:

We need to find the
`x-intercept` and
`y-intercept` for given equation.

For
`x-intercept` , substitute
`y=0`

Considering inequality sign as equality and simplifying,

`3x+2y=-5\\3x+0=-5\\x=-(5)/(3)` , point is
`(-(5)/(3) ,0)`

Similarly,

For
`y-intercept` , substitute
`x=0`

We get,

`3x+2y=-5\\0+2y=-5\\y=-5/2` , point is
`(0,-(5)/(2))`

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.