Evaluate 6(x-5)>13

$6 (x - 5) > 13$

Divide each term in $6 (x - 5) > 13$ by $6$ and simplify.

Divide each term in $6 (x - 5) > 13$ by $6$ .

$\frac{6 (x - 5)}{6} > \frac{13}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 (x - 5)}{6} > \frac{13}{6}$

Divide $x - 5$ by $1$ .

$x - 5 > \frac{13}{6}$

Move all terms not containing $x$ to the right side of the inequality.

Add $5$ to both sides of the inequality.

$x > \frac{13}{6} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$x > \frac{13}{6} + 5 \cdot \frac{6}{6}$

Combine $5$ and $\frac{6}{6}$ .

$x > \frac{13}{6} + \frac{5 \cdot 6}{6}$

Combine the numerators over the common denominator.

$x > \frac{13 + 5 \cdot 6}{6}$

Simplify the numerator.

Multiply $5$ by $6$ .

$x > \frac{13 + 30}{6}$

Add $13$ and $30$ .

$x > \frac{43}{6}$

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{43}{6}$

Interval Notation:

$(\frac{43}{6}, \infty)$