How do I solve this? (1)/(3) > (t - 4)/( - 3) > - 2 ​

Question

How do I solve this?

`(1)/(3) > (t - 4)/( - 3) > - 2`
​

Answer 1

x > 3

x < 10

Explanation:

`(x - 4)/( - 3) < (1)/(3)`

You first have to seperate into two inequalities and solve separately.

Multiply by -3 and solve for x. Dont forget to switch inequality symbol because you multiply by negative. You should get x > 3

`(x - 4)/( - 3) > - 2`

Same thing here. Don't forget to switch inequality symbol. You should get x < 10

Answer 2

First you’d separate into 2 inequalities so it would change to t-4/-3>-2 then you’d solve it for inequalities t-4/-3>-2 then you’d find the intersection which would be the answer: T (3,10)