Solve the Inequality for q 7<4q-9

$7 < 4 q - 9$

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

$4 q - 9 > 7$

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

Add $9$ to both sides of the inequality.

$4 q > 7 + 9$

Add $7$ and $9$ .

$4 q > 16$

Divide each term in $4 q > 16$ by $4$ and simplify.

Divide each term in $4 q > 16$ by $4$ .

$\frac{4 q}{4} > \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 q}{4} > \frac{16}{4}$

Divide $q$ by $1$ .

$q > \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$q > 4$

The result can be shown in multiple forms.

Inequality Form:

$q > 4$

Interval Notation:

$(4, \infty)$