Solve the Inequality for x 2x+3>9

$2 x + 3 > 9$

Step 1

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

Subtract $3$ from both sides of the inequality.

$2 x > 9 - 3$

Subtract $3$ from $9$ .

$2 x > 6$

Step 2

Divide each term in $2 x > 6$ by $2$ and simplify.

Divide each term in $2 x > 6$ by $2$ .

$\frac{2 x}{2} > \frac{6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{6}{2}$

Divide $x$ by $1$ .

$x > \frac{6}{2}$

Simplify the right side.

Divide $6$ by $2$ .

$x > 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$