Question

Could somebody help me out I don't trust my answers.
1) -2/3x-9<9/10
My answer: x< -99/10
2) 4x+6<-6
My answer: x<-3
3) q+12-2(q-22)>0
My answer: Idek

Answer 1

First one is

\[\Large -\frac{2}{3}x-9<\frac{9}{10}\]

right?

Answer 2

yes

Answer 3

the answer you got is incorrect

Answer 4

figures

Answer 5

however, the answer you got for 4x+6<-6 is correct

Answer 6

to make -2/3x-9<9/10 simpler, you can multiply both sides by the LCD 30

-2/3x-9<9/10

30(-2/3x-9)<30*(9/10 )

30(-2/3x) + 30(-9) < 27

-20x - 270 < 27

hopefully you see how to finish up to solve for x

Answer 7

o shoot no it was actually supposed to be -2/5 instead of -2/3 I was looking at the wrong problem and added them together instead :/

Answer 8

so,

\[\Large -\frac{2}{5}x-9<\frac{9}{10}\]

???

Answer 9

But yes I do understand how you got that answer

Answer 10

yes

Answer 11

x< -99/10 is close, but still not correct

Answer 12

-2/5x-9<9/10

10*(-2/5x-9)<10*(9/10) ... Multiply both sides by the LCD 10.

10*(-2/5x) + 10*(-9) <10*(9/10)

-4x - 90 < 9

solve for x

Answer 13

what do you get?

Answer 14

-99/4 or -24.75

Answer 15

x > -99/4

OR

x < -99/4

??

Answer 16

x > -99/4

Answer 17

correct

Answer 18

# 3

q+12-2(q-22) > 0

q+12-2q-2(-22) > 0 ... distribute

q + 12 - 2q + 44 > 0

-q + 56 > 0

I'll let you finish up