Question

Solution set of the inequality $x \ge 0$ is

• A. half plane on the left of $Y$-axis
• B. half plane on the right of $Y$-axis excluding the points on $Y$-axis
• C. half plane on the right of $Y$-axis including the points on $Y$-axis
• D. none of these

Answer 1

Answer: (C)

Solution set of the given inequality is $\{( x, y) : x\ge 0\}$ i.e., the set of all points whose abscissae are non-negative. All these points lie either on $Y$-axis or on the right of $Y$ -axis.