Question

Solve the compound inequality 9 + 3n 6 or 5n < 25.

Answer 1

9 + 3n greater or equal to 6 or 5n < 25.

Answer 2

can you simplify them?

Answer 3

idk how to

Answer 4

pretend they are equalities, can you simplify 9 + 3n = 6 ?

Answer 5

12n=6??

Answer 6

add -9 to both sides

Answer 7

oh you should of said like an equation.

Answer 8

15

Answer 9

3n=15

Answer 10

watch the sign (-) 9 + 3n = 6 so add (-9) to both sides

Answer 11

3n=6 - 9

Answer 12

yes, thats it... now what is 6 - 9 ?

Answer 13

-3

Answer 14

yes, so 3n = -3 and when you divide both sides by 3 what do you get?

Answer 15

n=-1

Answer 16

great, now that first equation makes sense... n >= 1
so let's work on the second one 5n < 25 any ideas?

Answer 17

pretend the < is an = for this part

Answer 18

n=5

Answer 19

exactly!!! and that is how you handle these... but be careful if you divide by a negative

Answer 20

when you divide both sides by a negative number, you switch the sign

Answer 21

but we didnt have to do that here.... so we have
n >= 1 and n < 5

Answer 22

ok thank you so much give me a medal plzz

Answer 23

and that's all there is to it (unless you have to graph it or something