Solve the Inequality for x -2x<8

$- 2 x < 8$

Step 1

Divide each term in $- 2 x < 8$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{8}{- 2}$

Step 2

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{8}{- 2}$

Divide $x$ by $1$ .

$x > \frac{8}{- 2}$

Step 3

Simplify the right side.

Divide $8$ by $- 2$ .

$x > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 4$

Interval Notation:

$(- 4, \infty)$

Solve the Inequality for x -2x<8

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