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Question

Does the shaded region of the graph of the system of inequalities y>3 and x+y<5 include the points (4, 0)? how do you know?

Submitted: 267 days and 3 hours ago.

Category: Math

Value: $9

Status: CLOSED

Level: college; Subject: algebra

Accepted Answer

Hi again,

It does not include the point (4, 0).

Let's plug in this point in the inequalities and see if it satisfies,

y > 3
0 > 3 Does not satisfy

x+y<5
4+0<5 Satisfies this one.

In order to be in the shaded region, the given point must satisfy both of the inequalities. In this case it does not satisfy the first one and it is not in the shaded region.

Accepts:
Expert:	abozer
Pos. Feedback:	99.9 %
Answered:	3/1/2009

Math Answer Team

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