Question

(need help asap please this is urgent)

Use the systems of inequalities graphed below to answer the questions.


what is the inequality symbol of the green line?

-y is greater than ax+b -y is greater than or equal to ax+b

-y is less tham ax+b

-y is less than or equal to ax+b

what is the inequality symbol of the green line?

-y is greater than ax+b

-y is greater than or equal to ax+b

-y is less tham ax+b

-y is less than or equal to ax+b

is the point (-3, -5) a solution to the system of inequalities?

-yes -no

is the point (1,6) a solution to the system of inequalities?

-yes -no ​

Answer 1

Green line: y is greater than or equal to ax+b

Purple line: y is less than ax+b

(-3, -5) : Yes

(1, 6) : No

Explanation:

When graphing inequalities:

• < or > : dashed line.
• ≤ or ≥ : solid line.
• < or ≤ : shade under the line.
• > or ≥ : shade above the line.

Green line

From inspection of the given graph, the green line is a solid line and the shading is above the line.

Therefore, the inequality symbol of the green line is ≥.

"y is greater than or equal to ax+b"

Purple line

From inspection of the given graph, the purple line is a dashed line and the shading is below the line.

Therefore, the inequality symbol of the purple line is <.

"y is less than ax+b"

The solutions to a graphed system of inequalities are found in the overlapping shaded region.

Yes, point (-3, -5) is a solution to the system of inequalities as this point is in the overlapping shaded region.

No, point (1, 6) is not a solution to the system of inequalities as this point is not in the overlapping shaded region.