Solve the Inequality for r -8r<16

$- 8 r < 16$

Step 1

Divide each term in $- 8 r < 16$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 r}{- 8} > \frac{16}{- 8}$

Step 2

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 r}{- 8} > \frac{16}{- 8}$

Divide $r$ by $1$ .

$r > \frac{16}{- 8}$

Step 3

Simplify the right side.

Divide $16$ by $- 8$ .

$r > - 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$r > - 2$

Interval Notation:

$(- 2, \infty)$

Solve the Inequality for r -8r<16

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