Question

Which of the following is not a linear inequality in two variables?

• A. x ≥ 0
• B. x = 0
• C.
• D. ax + by < 0

Answer 1

Answer: (B)

Lets check options:

A. $x\ge 0$

It may written as $1x+0y\ge 0$

So, it is a linear inequality in two variables.

B. $x=0$

Which has the symbol equality.

So, it is not a linear inequality in two variables.

C. $ax+by<0$

Clearly, it is a linear inequality in two variables.

D. $\frac{x}{y}\ge 1$

$\frac{x}{y}\ge 1$

$\Rightarrow x\ge y$

$\Rightarrow x-y\ge 0$

So, it is a linear inequality in two variables.

Hence, Option B is correct.