Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3}
3
1

start fraction, 1, divided by, 3, end fraction of a sheet to each of the 454545 students at recess. She wants to give teachers 1\dfrac{1}{2}1
2
1

1, start fraction, 1, divided by, 2, end fraction sheets each.
Which inequality describes the number of teachers, ttt, Noor could give sheets of stickers to?

180

step-by-step explanation:

congruent segments

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is