To calculate: Whether the point (-5, 2) lies in the region for the graph of the

Tammy Todd

Tammy Todd

Answered question

2021-10-15

To calculate: Whether the point (-5, 2) lies in the region for the graph of the system of inequalities x+2y<3 and 4x+y>2 or not,

Answer & Explanation

pattererX

pattererX

Skilled2021-10-16Added 95 answers

Calculation:
The system of equation given is x+2y<3 and 4x+y>2.
Substitute the ordered pair (-5, 2) into each inequality to determine whether this point lies in the region. If the ordered pair satisfies both the equations, then this ordered pair lies in the region.
Substitute the value of x and y from the ordered pair (-5, 2), in x+2y<3.
5+2(2)<3
5+4<3
1<3
This is true. Now, check for the equation 4x+y>2,
4(5)+2>2
20+2>2
22>2
This is also true.
Since the ordered pair satisfies both the inequalities, therefore, the ordered pair lies in the region.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?