Solve the Inequality for r 21r<7

$21 r < 7$

Step 1

Divide each term in $21 r < 7$ by $21$ .

$\frac{21 r}{21} < \frac{7}{21}$

Step 2

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 r}{21} < \frac{7}{21}$

Divide $r$ by $1$ .

$r < \frac{7}{21}$

$r < \frac{7}{21}$

$r < \frac{7}{21}$

Step 3

Simplify the right side.

Cancel the common factor of $7$ and $21$ .

Factor $7$ out of $7$ .

$r < \frac{7 (1)}{21}$

Cancel the common factors.

Factor $7$ out of $21$ .

$r < \frac{7 \cdot 1}{7 \cdot 3}$

Cancel the common factor.

$r < \frac{7 \cdot 1}{7 \cdot 3}$

Rewrite the expression.

$r < \frac{1}{3}$

$r < \frac{1}{3}$

$r < \frac{1}{3}$

$r < \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$r < \frac{1}{3}$

Interval Notation:

$(- \infty, \frac{1}{3})$

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