Question

-2(5+6n)<6(8-2n) solve the inequality and graph it. My graph only shows -8 to 2? I keep coming up with n<58. Am i doing something wrong?

Answer 1

Hey moreland, welcome to openstudy!

I suggest you use the FOIL method to get rid of those pesky distributes. Do you know this method?

Answer 2

what do you get when you distribute?

Answer 3

when i distribute I get -10-12n<48-12n. Googled the foil method but have not learned that in class yet.

Answer 4

you don't need to foil in this case

Answer 5

OK good

Answer 6

now add 12n to both sides

-10-12n<48-12n

-10-12n+12n<48-12n+12n

-10+0n < 48+0n

-10 < 48

since that last inequality is ALWAYS true (regardless of what n is), this means that there are infinitely many solutions

Answer 7

so the solution set is the set of all real numbers

Answer 8

ok thanks!

Answer 9

you're welcome