Question

How would I solve -5|6y+22|<70

Answer 1

Is this correct?
-70<-30y-110<70

Answer 2

I saw your reply for just a second then it vanished.

Answer 3

@ybarrap don't be afraid to help.

Answer 4

When I solved my equation, I got -4/3>y>-6

Answer 5

Hero...am I right?

Answer 6

OK...thinking

Answer 7

Divide by -5 on both sides and then flip the inequality sign to face the other direction since you are dividing by a negative number. Then subtract 22 on both sides and last divide by six. With absolute value inequalities, you will need to set up two inequalities with one having -70 and with the inequality sign pointing towards the opposite direction and the one that you got after you divided by -5

Answer 8

I think that's what I did. I got for the answer:
-4/3>y>-6

Answer 9

you set up the two equations after isolating the absolute value

Answer 10

i mean inequalities

Answer 11

-70<-5|6y+22|<70

Answer 12

1st rewrite:
$$
-5|6y+22|<70\\
\sqrt{(6y+22)^2}>(-70/5)
$$

Answer 13

DSS, so what you got is correct

Answer 14

I'm confused

Answer 15

Then expand
$$
(6y+22)^2>(-70/5)^2\\
(6y+22)^2-(-70/5)^2>0\\
36y^2+264y+288>0
$$
Using quadratic formula you can find where the function equal zero. Since this function curves upward, you then know that on either side of these zeros, the function is positive:
$$
y>-4/3\\
y<-6
$$

Answer 16

I got y<-4/3 & y>-6

Answer 17

In the 1st step when you divide by -5 you need to flip the inequality

Answer 18

ok

Answer 19

OK...I see. thanks for your help.

Answer 20

you're welcome