1.

Let x = no. of bracelets sold or made

Let y = no. of earrings sold or made

Since the price of the number of bracelets is $2, the price of the number of earrings is $3 we write

2 x + 3 y \geq 50

Since Sarah knows she will sell more than 50 bracelets we write x\gt 50

This is our second inequality

2.

Graphing the two inequalities we get the below graph.

3.Our inequality is 2x+3y \geq 500

(100,100) is a solution to the inequality since plugging in x = 100 and y = 100 we get 500= 500. Sarah can sell 100 bracelets and 100 earrings to make at least $500.

(200,100) is also a solution to the inequality, since plugging in x = 200 and y = 100 we get 400 + 300 = 700 \gt 500. So, Sarah can also sell 200 bracelets and 100 earrings to make at least $500.

(200,200) is also a solution to the inequality since plugging in x = 200 and y = 200 we get 400 + 600 =1000 \gt 500. This means that, Sarah can also sell 200 bracelets and 200 earrings to make at least $500.

Skills you may want to recall:

What is an inequality

https://www.mathsisfun.com/definitions/inequality.html

How to graph an inequality

https://www.mathsisfun.com/algebra/graphing-linear-inequalities.html