Binomial Theorem


Solve the following inequality graphically in two-dimensional plane:
y + 8 ≥ 2x


First, we draw a dark line to represent the graph of straight line y + 8 = 2x.
i.e.,       2x - y = 8
x             0              4
y            -8              0
Now, let us take a point O(0, 0), i.e, origin.
Substitute in given inequality, 0 + 8 ≥ 2(0) or 8 ≥ 0 which is true.
Therefore, origin is the solution of given inequality.
From these observations, the graph is given below, in which shaded region represents the solution of the given inequality.

Sponsor Area

Some More Questions From Binomial Theorem Chapter