Concept: The intercept form of the line is given by:
x
a
+
y
b
=1 Where a is the x-intercept and b is the y-intercept Important Points: - Make it a solid line for ≤ or ≥, and a dashed line for ⟨ or ⟩ - If the equation is given in form of > or ≥ then shaded area must be above the line (Away from the origin). - If the equation is given in form of Line l1⇒
x
4
+
y
5
=1 (intercept form) ⇒
5x+4y
4×5
=1 ⇒ 5x+4y=20 As, origin is not in the feasible region. ∴ 5x+4y≥20 Line l2⇒y≤3 (from the graph) Line l3⇒x≤6 (from the graph) and coordinate axes x≥0,y≥0 Hence, inequalities are 5x+4y≥20,y≤3,x≤6, x≥0,y≥0.