Solve the Inequality for k -7k<63

$- 7 k < 63$

Step 1

Divide each term in $- 7 k < 63$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 k}{- 7} > \frac{63}{- 7}$

Step 2

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 k}{- 7} > \frac{63}{- 7}$

Divide $k$ by $1$ .

$k > \frac{63}{- 7}$

Step 3

Simplify the right side.

Divide $63$ by $- 7$ .

$k > - 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k > - 9$

Interval Notation:

$(- 9, \infty)$

Solve the Inequality for k -7k<63

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