Question

Select the system of linear inequalities whose solution is graphed.

Coordinate plane with a system of two linear inequalities. The first is a solid line graphed with a slope of negative one, y-intercept of negative 2, and the region containing the origin is shaded. The second is a dashed vertical line 3 units to the left of the origin, and the region containing the origin is shaded.



x ≥ –3; y ≥ x – 2


x > –3; 5y ≥ –4x – 10


x > –3; y ≥ –x + 1


x > –2; y ≥ –x – 1

Answer 1

Is the other one right

Explanation:

Answer 2

`x>-3 and y\geq -x-2`

Explanation:

The first line has "equal to" because it is solid. It follows the same form as

`y\geq mx+b`

where m is the slope which is -1 and b is the y-intercept which is -2.

This means the equation is
`y\geq -x-2`.

The second line is 3 units to the left of the origin and is dashed so is
`x<a` or
`x>a`. Since it is 3 units and is including the origin (numbers greater than) then the line is
`x>-3`