Question

Solving the inequalities 2x+5y<=20,3x+2y<=12 x<=0, y<=0

Answer 1

Step-by-step explanation:

Given that:

2x+5y<=20,3x+2y<=12 x<=0, y<=0

To find:Solving the inequalities

Solution:

To solve these type of questions ,first

1. write these inequations in form of equation by placing equality.
2. Draw graph for lines
3. check whether each equation contains origin or not.
4. According to that draw dashed/shaded region.

1) Write 2x+5y ≤ 20 as

2x+5y = 20

find two points to draw line

put x=0,y=4

put y=0,x=10

(0,4) and (10,0)

join these points

2) Write 3x+2y ≤ 12 as

3x+2y = 12

find two points to draw line

put x=0,y=6

put y=0,x=4

(0,6) and (4,0). join these points

Both inequalities contains origin.

Graph is attatched.

Solution of these inequations are the common region by all four lines.

Hope it helps you.

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