For parts (a) and (b), write an inequality to represent the given statement.
-Let x represent the number of hours that Trenton spends studying algebra, and let y represent the number of hours he spends studying history.
a. Trenton has a total of at most 12 hr to study for both algebra and history combined.
b. Trenton will spend at least 5 hr studying algebra.
A) a. $x + y \leq 12$;
b. $x \leq 5$

B) a. $x + y \geq 12$;
b. $x \leq 5$

C) a. $x + y \geq 12$;
b. $x \geq 5$

D) a. $x + y \leq 12$;
b. $x \geq 5$

Question

For parts (a) and (b), write an inequality to represent the given statement.
-Let x represent the number of hours that Trenton spends studying algebra, and let y represent the number of hours he spends studying history.
a. Trenton has a total of at most 12 hr to study for both algebra and history combined.
b. Trenton will spend at least 5 hr studying algebra. 
A) a. $x + y \leq 12$;
b. $x \leq 5$

B) a. $x + y \geq 12$;
b. $x \leq 5$

C) a. $x + y \geq 12$;
b. $x \geq 5$

D) a. $x + y \leq 12$;
b. $x \geq 5$

Quizplus · Accepted Answer

For part (a), "at most 12 hr" means the total time spent on both subjects cannot exceed 12 hours, hence $x + y \leq 12$. For part (b), "at least 5 hr studying algebra" means the time spent on algebra should be 5 hours or more, hence $x \geq 5$.

For Parts (A) and (B), Write an Inequality to Represent x+y≤12x + y \leq 12x+y≤12

For Parts (A) and (B), Write an Inequality to Represent $x + y \leq 12$