Solve for x -7x>-56

$- 7 x > - 56$

Step 1

Divide each term in $- 7 x > - 56$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} < \frac{- 56}{- 7}$

Step 2

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} < \frac{- 56}{- 7}$

Divide $x$ by $1$ .

$x < \frac{- 56}{- 7}$

Step 3

Simplify the right side.

Divide $- 56$ by $- 7$ .

$x < 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 8$

Interval Notation:

$(- \infty, 8)$

Solve for x -7x>-56

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