I have found the compound inequality for the range, but can't find the domain one...

Question

QUESTION:

Sarah had a job babysitting his neighbors' kids that paid $7 an hour, and he made between $91 and $23 every week.

If x is the hours he worked in a week, and y is the money he made in a week, write the domain and range of the function as compound inequalities.

DOMAIN: ???

RANGE: 9 < y <231

Answer 1

range is 23<y<91

but you have something that doesn't fit

domain is 23/7 < x < 91/7 or about

3.28 < x < 13

but if somehow the 9<y<231 makes sense then

just divide by 7 to get

9/7 < x < 231/7 or

about

1.29 < x < 33

Answer 2

If Sarah earned $91 then 13 hours were worked (13•7 = 91). If Sarah earned $231 then 33 hours were worked (33•7 = 231). So the domain is 13 < x < 33.

I think you meant to say the range is 91 < y < 231 ("91" instead of "9" and < instead of <)