T< 49 let t = the amount thomas earned. thomas earned $49 or more.
t ≤ 49
t ≥ 49
t > 49
t < 49

Let

t--------> the amount Thomas earned in dollars

we know that

Thomas earned or more

so

The solution of the inequality is the interval------------> [49,∞)

see the attached figure to better understand the problem

The solution is the shaded area

therefore

the answer is  the option

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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