Mathematics

Mathematics

Problem

Determine whether the point (3,1)(3,1) is a solution of the following system: x−y≤1x - y \le 1, 2x+3y>72x + 3y > 7. Write “Yes” if it satisfies both inequalities, otherwise write “No”, with working.
Intuitive explanation

To solve a system of inequalities, you need to test whether a point satisfies all of them simultaneously—think of it as checking membership in an overlapping region. Substitute the coordinates into each inequality and see if both come out true; if even one fails, the point is outside the solution set. This is just careful arithmetic combined with understanding inequality direction.

Intuitive explanation

To solve a system of inequalities, you need to test whether a point satisfies all of them simultaneously—think of it as checking membership in an overlapping region. Substitute the coordinates into each inequality and see if both come out true; if even one fails, the point is outside the solution set. This is just careful arithmetic combined with understanding inequality direction.

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