Solve the Inequality for z -1.2z-8.2>-9.7

$- 1.2 z - 8.2 > - 9.7$

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

Add $8.2$ to both sides of the inequality.

$- 1.2 z > - 9.7 + 8.2$

Add $- 9.7$ and $8.2$ .

$- 1.2 z > - 1.5$

Divide each term in $- 1.2 z > - 1.5$ by $- 1.2$ and simplify.

Divide each term in $- 1.2 z > - 1.5$ by $- 1.2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 1.2 z}{- 1.2} < \frac{- 1.5}{- 1.2}$

Simplify the left side.

Cancel the common factor of $- 1.2$ .

Cancel the common factor.

$\frac{- 1.2 z}{- 1.2} < \frac{- 1.5}{- 1.2}$

Divide $z$ by $1$ .

$z < \frac{- 1.5}{- 1.2}$

Simplify the right side.

Divide $- 1.5$ by $- 1.2$ .

$z < 1.25$

The result can be shown in multiple forms.

Inequality Form:

$z < 1.25$

Interval Notation:

$(- \infty, 1.25)$

Solve the Inequality for z -1.2z-8.2>-9.7

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