Question 1
Solve the following inequalities graphically in two-dimensional plane: x + y < 5
x + y < 5
Lets first draw graph of
x + y = 5
Putting x = 0 in (1)
0 + y = 5
y = 5
Putting y = 0 in (1)
x + 0 = 5
x = 5
Drawing graph
Checking for (0,0)
Putting x = 0, y = 0
x + y < 5
0 + 0 < 5
0 < 5
which is true
Hence, Origin lies in plane x + y < 5 .
So, we shade left side of line

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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