The given inequality is 3x + 4y ≤ 60.
Draw the graph of the line 3x + 4y = 60.
Table of values satisfying the equation
3x + 4y = 60
Putting (0, 0) in the given inequation, we have 3 × 0 + 4 × 0 ≤ 60 ⇒ 0 ≤ 60, which is true.
∴ Half plane of 3x + 4y ≤ 60 is towards origin.
Also the given inequality is x + 3y ≤ 30.
Draw the graph of the line x + 3y = 30.
Table of values satisfying the equation .
x + 3y = 30
Putting (0, 0) in the given inequation, we have 0 + 3 × 0 ≤ 30 ⇒ 0 ≤ 30, which is true.
∴ Half plane of x + 3y ≤ 30 is towards origin.