Solve the Inequality for x -70<-10x

$- 70 < - 10 x$

Step 1

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

$- 10 x > - 70$

Step 2

Divide each term in $- 10 x > - 70$ by $- 10$ and simplify.

Divide each term in $- 10 x > - 70$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 x}{- 10} < \frac{- 70}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} < \frac{- 70}{- 10}$

Divide $x$ by $1$ .

$x < \frac{- 70}{- 10}$

Simplify the right side.

Divide $- 70$ by $- 10$ .

$x < 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 7$

Interval Notation:

$(- \infty, 7)$

Solve the Inequality for x -70<-10x

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