Solve the Inequality for x 10<-5(x-1)

$10 < - 5 (x - 1)$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$- 5 (x - 1) > 10$

Step 2

Divide each term in $- 5 (x - 1) > 10$ by $- 5$ and simplify.

Divide each term in $- 5 (x - 1) > 10$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 (x - 1)}{- 5} < \frac{10}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 (x - 1)}{- 5} < \frac{10}{- 5}$

Divide $x - 1$ by $1$ .

$x - 1 < \frac{10}{- 5}$

Simplify the right side.

Divide $10$ by $- 5$ .

$x - 1 < - 2$

Step 3

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

Add $1$ to both sides of the inequality.

$x < - 2 + 1$

Add $- 2$ and $1$ .

$x < - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$

Solve the Inequality for x 10<-5(x-1)

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