Choose all that apply! Teri is making ribbons and bracelets to give to her friends. Her budget is limited, and she has some constraints on the number of bracelets she can make compared to the number of ribbons. She has created and solved a system of two inequalities graphically where x represents the number of ribbons and y represents the number of bracelets.

Both of the inequalities are graphed on the coordinate plane below. The solutions of the system each represent the number of items of each type she can make given the constraints.

Which of the following are solutions to the system of inequalities?

step-by-step explanation:

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4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

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