Question

Which system of linear inequalities is graphed?

Answer 1

Answer:

y is greater than or equal to 3x-2

x - 1/2 is less than or equal to 2

Step-by-step explanation:

the choices aren't shown, but I answered based on the graph.

Answer 2

Answer:

Option A.

Step-by-step explanation:

First related equation passes through the points (0,2) and (4,0). So, the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-2=\dfrac{0-2}{4-0}(x-0)$

$y-2=-\dfrac{1}{2}x$

Multiply both sides by 2.

$2y-4=-x$

$x+2y=4$

The shaded region is below the solid line. So the sign of inequality is ≤.

$x+2y\leq 4$              ....(1)

second related equation passes through the points (0,-2) and (2,4). So, the equation of line is

$y-(-2)=\dfrac{4-(-2)}{2-0}(x-0)$

$y+2=3x$

$y=3x-2$

The shaded region is above the solid line. So the sign of inequality is ≥.

$y\geq 3x-2$              ....(2)

The system of equations contains equation (1) and (2).

Therefore, the correct option is A.