Lee has two tests to study for: Chemistry and French. She plans to study for up to 13h in total. She will spend at least 4 hours studying Chemistry and up to 6 hours studying French. Let x represent the number of hours she will spend studying Chemistry, and y the number of hours studying French. Which system of inequalities best represents this situation?

Question

a) x+y</13, x>/4, y</6
b) x+y>/13, x<6, y>/4
c) xy</13, x>4, y<6
d) x+y</6+4, xy</13

Answer 1

x+y <= 13, because she will spend up to 13 hours studying.

x >= 4, because she will spend at least 4 hours studying chemistry.

y <= 6, because she will spend up to 6 hours studying French.

You have to look at the keywords - "up to," "at least," to determine which inequality to use.