cesartapiaa2020
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Which of the following is the solution to the following system of inequalities?
Let the green region represent the answer region.
x + 2y <4
3x – y > 2

Which Of The Following Is The Solution To The Following System Of Inequalities Let The Green Region Represent The Answer Region X 2y Lt4 3x Y Gt 2 class=

Sagot :

ferrybukantoro

Answer:

D

Step-by-step explanation:

for example point (2,0) is one of the solutions.

=> x + 2y <4

2+ 2(0) = 2 => 2< 4 (true)

=> 3x – y > 2

3(2)-0= 6 => 6>2 (true)

so, the option D is the correct one

The solution to the following system of inequalities is option D.

How to estimate the system of inequalities?

There exist two inequalities drawn on a graph.

x + 2y ≤ 4 .............(1)

3x - y ≤ 2 .............(2)

Here solution set of the inequality (1) will be described by the shaded area below the solid line (in blue) characterized by "x + 2y = 4".

⇒ x + 2y < 4

⇒ x + 2y = 4

⇒ 2+ 2(0) = 2

⇒ 2< 4 (true)

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will designate the shaded area on the left of the solid red line characterized by "3x - y ≤ 2".

⇒ 3x – y > 2

⇒ 3(2)-0= 6

⇒ 6>2 (true)

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

The solution area to these inequalities will be the common area shaded in green.

Therefore, the correct answer is option D.

To learn more about system of inequalities

https://brainly.com/question/17085147

#SPJ2

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.