Solve the Inequality for r -4r>16

$- 4 r > 16$

Step 1

Divide each term in $- 4 r > 16$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 r}{- 4} < \frac{16}{- 4}$

Step 2

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 r}{- 4} < \frac{16}{- 4}$

Divide $r$ by $1$ .

$r < \frac{16}{- 4}$

Step 3

Simplify the right side.

Divide $16$ by $- 4$ .

$r < - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$r < - 4$

Interval Notation:

$(- \infty, - 4)$

Solve the Inequality for r -4r>16

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