Solve 3n + 11 12. Which is the best description of the solution set? A. n -4 B. n

Question

Solve 3n + 11 < 17 or -3n > 12. Which is the best description of the solution set? A. n < 2 or n > -4 B. n < 2 or n < -4 C. n < 2 D. n < -4

anonymous · Answer

Remember that when you divide by a negative, the inequality flips.

So -3n > 12 => n < -4.

That elliminates all but 2 possibilities. :)

anonymous · Answer

$$3n+11<17$$
$$3n<6$$
$$n<2$$
or 
$$-3n>12$$
$$n<-4$$

anonymous · Answer

OR means one or the other or both, so 
$$n<2$$

anonymous · Answer

so c or d?

anonymous · Answer

c

anonymous · Answer

because if you are less than -4 you are certainly less than 2

anonymous · Answer

oh.

anonymous · Answer

that is the set of numbers less than -4 is contained in the set of numbers less than 2

anonymous · Answer

again in math OR means one or the other or both.

anonymous · Answer

how c?

anonymous · Answer

for example 1 is not less than -4 but 1 IS less than 2, so the statement 1 is less than -4  OR 1 is less than 2 is a true statement.

anonymous · Answer

ooooooh thx i get it alote better now :)

anonymous · Answer

if the question said AND rather than OR  you would have to pick d

anonymous · Answer

good!