Applications of Inequalities Quick Check

4 of 5 4 of 5 Items

Question
Twelve less than four-fifths of a number is more than 24. What are all the possible values of the number? Lucia wrote the inequality 4/5n−12>24 , where n equals the number, to help solve this problem. Solve her inequality.(1 point)
Responses

n>9.6
n greater than 9.6

n>15
n greater than 15

n>28.8
n greater than 28.8

n>45

n greater than 45

Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Ellie writes the inequality 10w+213≥299 , where w is the number of weeks, to help figure this out. Solve her inequality.(1 point)

Responses

w≥86
w greater than or equal to 86

w≥51.2
w greater than or equal to 51.2

w≥860
w greater than or equal to 860

w≥8.6

w greater than or equal to 8.6