Question

Solve.

-2/5x - 9 < 9/10


4x + 6 < - 6



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



Please show work/explain. thanks!

Answer 1

I don't feel like bothering with the fractions in the first one, but it involves canceling out 5x first by mult.ing both sides by 5x.

Anyhoo -
4x+6<-6
Subtract six (trying to get x alone)
4x<-12
Divide both sides by 4
x<-3
////////////

q+12-2(q-22)>0
First distribute the -2.
q+12-2q+44>0
Simplify
-q+52>0
subtract 52
-q>52
divide by negative one (sign flips to <)
q<52

Hope I explained enough! :]

Answer 2

44 + 12 = 56, so q < 56. Other than that, she is correct.

Answer 3

thank yous so much!

Answer 4

Actually, sorry, she is incorrect in her work. When you subtract 52 you have -q > - 52, however her answer was correct. She seemed to have accounted for it in her mind, but not in the text.

Answer 5

yes sorry, from the incorrect point on, it would be
-q>-56
divide by -1, sign flips
q<56 (instead of 52, as stated)

Answer 6

thanks!

Answer 7

For the first one would it be

-2/5x - 9 < 9/10
-4/10x -90/10 <9/10
-4/10x< 99/10

??