2018 · Q48
The solution of linear inequalities x + y > 5 and x - y ≤ 3 lies
Elementary MathematicsAlgebra
- AOnly in the first quadrant
- BIn the first and second quadrants
- CIn the second and third quadrants
- DIn the third and fourth quadrants
Explanation
The point (-1, 7) satisfies x + y = 6 > 5 and x - y = -8 <= 3, yet lies in the second quadrant; the point (6, 0) satisfies both and lies in the first. So the solution region extends into both the first and second quadrants, not the first quadrant only. Hence option B.