Solve for z -7+10z>-27

$- 7 + 10 z > - 27$

Step 1

Move all terms not containing $z$ to the right side of the inequality.

Add $7$ to both sides of the inequality.

$10 z > - 27 + 7$

Add $- 27$ and $7$ .

$10 z > - 20$

Step 2

Divide each term in $10 z > - 20$ by $10$ and simplify.

Divide each term in $10 z > - 20$ by $10$ .

$\frac{10 z}{10} > \frac{- 20}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 z}{10} > \frac{- 20}{10}$

Divide $z$ by $1$ .

$z > \frac{- 20}{10}$

Simplify the right side.

Divide $- 20$ by $10$ .

$z > - 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$z > - 2$

Interval Notation:

$(- 2, \infty)$