Question

-6<5t-1<0solve inequality

Answer 1

To solve the inequality:

`-6<5t-1<0`

Add 1 to the sides of the inequality:

`-6+1<5t-1+1<0+1\Rightarrow-5<5t+0<1`

Then

`-5<5t<1`

Dividing all the inequality by 5, we have:

`(-5)/(5)<(5)/(5)t<(1)/(5)\Rightarrow-1Then, we can express the inequality as two inequalities:[tex]t<(1)/(5),t>-1`

Graphically:

Or, in the interval notation(-1, 1/5).