Question

I need help with this question, it's simple but I can't figure it out and I need it answered quick, help would be much appreciated.

Solve the inequality.
-1/5x - 4 > - 3
Thank yhu. c:

Answer 1

The choices are between
A.) x<35
B.) x>35
C.) x<-5
D.) x>-5

Answer 2

Every time I think I have the answer, I never get one of those, the fraction is confusing me.

Answer 3

\[-\frac{1}{5}x - 4 > -3\]Is that the inequality?

Answer 4

I suggest you multiply everything by 5 to start.

Answer 5

yes.

Answer 6

After you multiply everything by 5, what do you have?

Answer 7

the fraction cancelled and I got,
-4>-15?

Answer 8

Not quite:
\[-\frac{1}{5}x - 4 > -3\]\[-\frac{1}{5}x*5 - 4*5 > -3*5\]\[-x - 20 > -15\]Right?

Answer 9

after multiplyin by 5
u will have -x-20>-15
multiplyin again with -
x+20<15
notice the sign changes of inequality
x<-5 is the answer

Answer 10

c is the ans

Answer 11

wait, why did the sign flip?

Answer 12

For an inequality, equal quantities can be added to both sides. SO add 4 to both sides thus giving:
\[-(1/5x)-4+4>-3+4\]
Thus we get:
\[-(1/5x)>1\]
Multiplying both sides on an inequality with a negative number leads to a reversal of the inequality.
\[(-1).(-1/5x)<(-1).1=-1\]
Thus:
\[1/5x<-1\]
Multiply both sides by 5 retains the inequality:
\[(1/x)<-5\]

So far so good?

Answer 13

its the feature of inequality

Answer 14

by multipling any negative no

Answer 15

OH! I remember that being a step...

Answer 16

RajeshRathod, how did yhu get those steps?

Answer 17

Which step is not clear?

Answer 18

How did, why did 5 get multiplied by everything?
I'm thinking it's because of the fraction... but I don't know... if that's right.

Answer 19

Just a minute: is it (-1/5)x OR (-1/5x) ??

Answer 20

? There's no parenthesis in the equation.

Answer 21

-1/5x

Answer 22

Looking at the choices, it has to be (-1/5)x

Answer 23

So we have:
\[(-1/5)x-4>-3\]

RULE: Multiplying both sides of an inequality by a negative number reverses the inequality.

So in this case multiplying by -1 we get:
\[(1/5)x+4<3\]

Okay?

Answer 24

Okay.

Answer 25

RULE: Multiplying both sides of an inequality by a positive number retains the inequality:
So, multiply both sides by 5 now so that only x remains. Right?

Answer 26

yea.

Answer 27

Can you do it now?

Answer 28

yes. Thank yhu everyone. c:

Answer 29

Signing off - need to go to work. Good luck!!

Answer 30

Thank yhu.