Write an system of inequalities that would include every coordinate in quadrant 1 but no other coordinates.

Question

jehanrana2003 jehanrana2003

02-07-2018
Mathematics

contestada

Write an system of inequalities that would include every coordinate in quadrant 1 but no other coordinates.

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mmckenney1 mmckenney1 · Answer 1 · 2018-07-02T20:05:30+02:00

Example
Problem
Is the point (2, 1) a solution of the system x + y > 1 and 2x + y < 8?

x + y > 1
2 + 1 > 1
3 > 1

TRUE
(2, 1) is a solution for x + y > 1.
2x + y < 8
2(2) + 1 < 8
4 + 1 < 8
5 < 8

TRUE
(2, 1) is a solution for 2x + y < 8.
Check the point with each of the inequalities. Substitute 2 for x and 1 for y. Is the point a solution of both inequalities?

Answer
The point (2, 1) is a solution of the system
x + y > 1 and 2x + y < 8.
Since (2, 1) is a solution of each inequality, it is also a solution of the system.