Question

Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet. She wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces.
Select all inequalities that model this situation.

x≥0

y≥2x

x>0

y>2x

0.5x+y≤20

0.5x+y<20

Answer 1

X = necklaces, y = bracelets

at least twice as many bracelets as necklaces
y > = 2x <===
x > 0 <=== 

half hour for necklace, 1 hr for bracelet...fewer then 20 hrs
0.5x + y < 20 <==

Answer 2

Answer:- The inequalities that model the given situation are 0.5x+y<20, y≥2x and x>0.

Explanation:-

Given:- The number of necklace she wants to make=x

The number of bracelet she wants to make=y

time taken to make necklace=$\frac{1}{2}\text{hour}=0.5\text{ hour}$

time taken to make bracelet =1 hour

As Jackie has fewer than/ less than 20 h to work on her jewelry.

⇒0.5x+y<20

And as she wants at least twice as many bracelets as necklaces.

⇒y≥2x and x>0. [since x =0 is not accepted value for this situation,the number of necklace cannot be zero]