Question

Consider the following statements
Statement I The region containing all the solutions of an inequality is called the solution region.
Statement II The half plane represented by an inequality is checked by taking any point on the line.
Choose the correct option.

• A. Statement I is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (A)

I. The region containing all the solutions of an inequality is callead thee soolutionn rẽgiôn.
II. In order to identify the half plane represented by an inequality, it is just sufficient to take any point $(a,b)$ (not on line) and check whether it satisfies the inequality or not. If it satisfies, then the inequality represents the half plane and shade the region, which contains the point, otherwise,the inequality represents that half plane which does not contains the point within it. For convenience, the point $(0,0)$ is preferred.