## yamyam70 one year ago I need help with these solve the inequality 0<3x + 2 <1

1. insa

u can make two pairs out of that |dw:1437296021976:dw|

2. insa

can u solve it now?

3. insa

@yamyam70

4. yamyam70

-2/3 < x < -1/3

5. yamyam70

THANKS!

6. UsukiDoll

another method $0<3x + 2 <1$ subtract 2 all over the inequality $0-2<3x + 2-2 <1 -2$ $-2<3x <-1$ and then divide 3 all over the inequality $\frac{-2}{3}<\frac{3}{3}x <\frac{-1}{3}$ $\frac{-2}{3}<x <\frac{-1}{3}$

7. UsukiDoll

@yamyam70 just for reference/information purposes. It's good to learn more than one valid method for solving a math problem as long as it doesn't break math rules :)

8. yamyam70

|dw:1437297811873:dw|

9. yamyam70

is that correct?

10. UsukiDoll

hmmm that inequality we had earlier shows that it's between -2/3 < x < -1/3 and it's an open circle. looks similar to your drawing, but let's try using a number line |dw:1437298046045:dw|

11. yamyam70

considering -2/3 = -0.666 -1/3 = 0.3333 hey thanks maybe ill just put my values for X the way you wrote it :) TY!

12. UsukiDoll

you're welcome :)