Solve the Inequality for x 9x-4x+4>=36-12

$9 x - 4 x + 4 \geq 36 - 12$

Step 1

Subtract $4 x$ from $9 x$ .

$5 x + 4 \geq 36 - 12$

Step 2

Subtract $12$ from $36$ .

$5 x + 4 \geq 24$

Step 3

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

Subtract $4$ from both sides of the inequality.

$5 x \geq 24 - 4$

Subtract $4$ from $24$ .

$5 x \geq 20$

Step 4

Divide each term in $5 x \geq 20$ by $5$ and simplify.

Divide each term in $5 x \geq 20$ by $5$ .

$\frac{5 x}{5} \geq \frac{20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \geq \frac{20}{5}$

Divide $x$ by $1$ .

$x \geq \frac{20}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$x \geq 4$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x \geq 4$

Interval Notation:

$[4, \infty)$