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:

$\frac{-5}{5}<\frac{5}{5}t<\frac{1}{5}\Rightarrow-1Then, we can express the inequality as two inequalities:[tex]t<\frac{1}{5},t>-1$

Graphically:

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