The graph of the system inequalities indicates that the inequality in the system and the point which is a solution are;
Question 1) y < 2·x + 2
Question 2) (-1, -2)
What is an inequality; An inequality is an expression that shows the relationship between expressions that have different values or amounts
The points on the graphs are;
Graph of first inequality (0, 2), and (-1, 0)
The slope is; 2/1 = 2
Equation of the first inequality is; y - 2 = 2·(x - 0)
y = 2·x + 2
The shaded region and the type of line in the inequality indicates, the correct inequality symbol is <, therefore; y < 2·x + 2
Graph of second inequality (2, 3), and (0, -1)
The slope is; (3 - (-1))/(2 - 0) = 2
Equation of the second inequality is; y - 3 = 2·(x - 2)
y = 2·x - 4 + 3
y = 2·x - 1
The shaded region and the type of line in the inequality indicates, the correct inequality symbol is ≥, therefore; y ≥ 2·x - 1
The equation that represents an inequality in the system is the option C
C. y < 2·x + 2
Question 2); A solution point is a point that is common to both of the system
The point (-4, -2) is located above the feasible region
The point (-1, -2) is in the feasible region, and therefore, represents a solution of the inequality
The point (1, 4) is in on the dashed line y < 2·x + 2 and therefore, is not in the feasible region
The point (2, 2) is not in the feasible region
The correct option is option B (-1, -2)