Algebra Examples

$- 8 x < 48$

Step 1

Divide each term in $- 8 x < 48$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 x}{- 8} > \frac{48}{- 8}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 8$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} > \frac{48}{- 8}$

Step 2.1.2

Divide $x$ by $1$ .

$x > \frac{48}{- 8}$

Step 3

Simplify the right side.

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Step 3.1

Divide $48$ by $- 8$ .

$x > - 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 6$

Interval Notation:

$(- 6, \infty)$