Answer:
The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2 ⇒ C
Step-by-step explanation:
From the given figure
∵ The direction of each line is to left
∴ The slopes of the lines are negative
∵ The slope of the line is the coefficient of x
∴ The coefficient of x in each inequality is negative ⇒ (1)
∵ The two lines intersect the y-axis at the point (0, 2)
∴ The y-intercept of the two lines is (0, 2)
∵ The y-intercept is the numerical term in the equation
∴ The numerical term in each inequality is 2 ⇒ (2)
∵ The two lines are solids
∵ The shaded area of each one is under the line
∴ The sign of inequality in both equations is ≤ ⇒ (3)
→ Look at the answer and find which one has the 3 conditions above
∵ y ≤ -3x + 2 and y ≤ -x + 2
∴ m = -3 and m = -1 ⇒ negative coefficients of x
∴ b = 2 ⇒ numerical term
∵ The sign of inequality is ≤
∴ The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2
