A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?

Question

danjs · Answer

The general idea is the inequality for the mine -
$$production \ge obligations$$

dannimarie · Answer

So what would the exact answer be?

danjs · Answer

well, the amount produced is 4 tons/hr times X number of hours extracting...

production = 4*X  tons

danjs · Answer

The obligations are 4 for the govt, and at least 10 for the other one... so that means they need 14 tons at least

$$obligations \ge 14$$

danjs · Answer

Sorry the production was 2 not 4 tons/hr, so production is 2*X
so together it is..
$$2x \ge 14$$
$$x \ge 7$$

They must operate at least 7 hours each day

dannimarie · Answer

Thank you!

dannimarie · Answer

So what would the exact answer be?

volleysappspbj16 · Answer

What does at least mean? DanniMarie