Question

Which shows the graph of the solution set of 3y – 2x > –18?

Answer 1

Refer the attached figure.

Explanation:

Given : Inequality
`3y-2x>-18`

To find : The graph of the solution set of given inequality?

Solution :

We have given the inequality
`3y-2x>-18`

Graph the given inequality.

Now, Applying the Zero test,

i.e, When we substitute the point (0,0) in the inequality,

If solution is toward origin it is true and

If solution is away from origin it is false.

Now, we substitute (0,0) in the given inequality.

`3* 0-2* 0>-18`

i.e. 0 > -18, which is true.

Therefore, the solution region is towards the origin.

Hence, the graph of the inequality
`3y-2x>-18` is given below.

Refer the attached figure below.

Answer 2

Graph of the inequality
`3y-2x>-18` is given below.

Explanation:

We are given the inequality,
`3y-2x>-18`

Now, using the 'Zero Test', which states that,

After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.

So, after substituting (0,0) in
`3y-2x>-18`, we get,

`3* 0-2* 0>-18`

i.e. 0 > -18, which is true.

Thus, the solution region is towards the origin.

Hence, the graph of the inequality
`3y-2x>-18` is given below.