Solve the Inequality for z -5z+1<-14

$- 5 z + 1 < - 14$

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

Subtract $1$ from both sides of the inequality.

$- 5 z < - 14 - 1$

Subtract $1$ from $- 14$ .

$- 5 z < - 15$

Divide each term in $- 5 z < - 15$ by $- 5$ and simplify.

Divide each term in $- 5 z < - 15$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 z}{- 5} > \frac{- 15}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 z}{- 5} > \frac{- 15}{- 5}$

Divide $z$ by $1$ .

$z > \frac{- 15}{- 5}$

Simplify the right side.

Divide $- 15$ by $- 5$ .

$z > 3$

The result can be shown in multiple forms.

Inequality Form:

$z > 3$

Interval Notation:

$(3, \infty)$

Solve the Inequality for z -5z+1<-14

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