Question

Would it yes or no?

Answer 1

Yes!

Explanation:

Answer 2

Yes

Explanation:

Given point to test : (5,10)

Give system of linear inequalities:

`x>2`

`y\geq3x-7`

To check if the point lies in the solution set for the given system of inequalities.

Solution:

In order to check if the point lies in the solution set for the given system of inequalities, we will plugin the given point in the inequalities and see if it is true or not.

For the given point
`x=5`
`y=10`

Testing the first inequality.

Plugging in
`x=5` in the inequality.

`5>2`

The above inequality will always hold true and thus the given point will lie in the solution set of this inequality.

Testing the second inequality:

Plugging in
`x=5` and
`y=10` in the inequality.

`10>3(5)-7`

Simplifying.

`10>15-7`

`10>8`

The above inequality will always hold true and thus the given point will lie in the solution set of this inequality also.

Thus, we can say that the point (5,10) will lie in the solution set of the given system of inequalities.