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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

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