Solve the Inequality for a 10<6a-14

$10 < 6 a - 14$

Rewrite so $a$ is on the left side of the inequality.

$6 a - 14 > 10$

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

Add $14$ to both sides of the inequality.

$6 a > 10 + 14$

Add $10$ and $14$ .

$6 a > 24$

Divide each term in $6 a > 24$ by $6$ and simplify.

Divide each term in $6 a > 24$ by $6$ .

$\frac{6 a}{6} > \frac{24}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 a}{6} > \frac{24}{6}$

Divide $a$ by $1$ .

$a > \frac{24}{6}$

Simplify the right side.

Divide $24$ by $6$ .

$a > 4$

The result can be shown in multiple forms.

Inequality Form:

$a > 4$

Interval Notation:

$(4, \infty)$