Question

solve the following system of inequalities graphically, x+y less than or equal to 2, 2x+3y less than or equal to 6, x greater than or equal to 0, y greater than equal to 0.​

Answer 1

Given : x + y  ≤ 2

2x + 3y  ≤ 6

x ≥ 0

y ≥ 0

To Find : solve the following system of inequalities graphically,

Solution:

x + y  ≤ 2

2x + 3y  ≤ 6

x ≥ 0

y ≥ 0

x + y  ≤ 2

Draw a line  x + y =  2

0 , 0  satisfies ≤ 2 inequality

hence region on left of line

2x + 3y  ≤ 6

Draw line 2x + 3y = 6

0 , 0  satisfies ≤ 6 inequality

Hence region is on the left

x ≥ 0 ,  y ≥ 0

so 1st Quadrant only  ( above x axis and right of y axis )

Triangle formed by point (0, 0) , ( 0 , 2) and ( 2, 0)

is the solution

Learn More:

प्रश्न 1 से 15 तक निम्नलिखित असमिका निकाय को ...

brainly.in/question/16041719

प्रश्न 1 से 15 तक निम्नलिखित असमिका निकाय को ...

brainly.in/question/16041718

Answer 2

Answer: The answer is D

Step-by-step explanation:

I took the quiz