Question

Which system of inequalities has a solution set that is a line?

a) (x + y leq 3)
b) (x + y geq 3)
c) (x + y > -3)
d) (x + y < 3)

Answer 1

The system of inequalities that has a solution set that is a line is option c) (x + y > -3).

Step-by-step explanation:

The system of inequalities that has a solution set that is a line is option c) (x + y > -3). This is because a line is represented by an inequality with a > or < symbol, rather than a ≤ or ≥ symbol.

In this case, the inequality x + y > -3 represents a line in the coordinate system that slants diagonally upwards from left to right.