Question

-3/10x -7 < 1/2

Answer 1

You want to know about the values of x.
Looking at the inequality, you see x has been multiplied with -3/10 and then 7 subtracted.
To get back at x, you just have to undo these calculations, so add 7 on both sides and divide by -3/10 (or multiply with -10/3) on both sides.

You will have the right solution, but only if you have thought about one tiny little catch...
(has to do with the dividing/multiplying with a negative number, remember?)

Answer 2

ok im working on it

Answer 3

x<1 2/5

Answer 4

Can you show your work?

Answer 5

ok you add 7 to both sides then the 3/10s add to both sides correct?

Answer 6

OK, this is what I did:\[-\frac{ 3 }{ 10 }x-7 <\frac{ 1 }{ 2 }\]add 7:\[-\frac{ 3 }{ 10 }x<7\frac{ 1 }{ 2 }=\frac{ 15 }{ 2 }\]Multiply with -10/3, and remember to switch from "<" to ">" !!!\[x>\frac{ 15 }{ 2 }\cdot -\frac{ 10 }{ 3 }=-\frac{ 150 }{ 6 }=-25\]So the solution is: x > -25

Answer 7

oh i see thank you for the help i kept thinking the 3/10 had to go to the right

Answer 8

-3/10 x means x has been multiplied with -3/10. To undo that, you can multiply another time, now with the inverse of the fraction: -10/3:
\[-\frac{ 10 }{ 3 }\cdot -\frac{ 3 }{ 10 }x=\frac{ 10 \cdot 3 }{ 3 \cdot 10 }x=\frac{ 30 }{ 30 }x=x\]

Answer 9

ok got it thank you very much!

Answer 10

YW!