Given the system of inequalities, list all the points that are included in the solution to this system of inequalities: x + y > 4 - 2x + y < 3 ​

Question

Given the system of inequalities, list all the points that are included in the solution to this system of inequalities:


`x + y > 4`

`- 2x + y < 3`
​

Answer 1

B, C

Explanation:

The solution space is the area to the right of the X where the lines cross. Only points B and C are in that space. Point E is on the line, but the line is not included in the solution space.

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The lines are drawn as though the inequality were an equation. The solution space is above the first line (which has negative slope) because y > ... indicates the solution is values of y above (>) the line.

The solution space is below the second line, which has positive slope, because y < ... indicates the solution is values of y below (<) the line.