Algebra Examples

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

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.

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Step 3.1

Subtract $4$ from both sides of the inequality.

$5 x \geq 24 - 4$

Step 3.2

Subtract $4$ from $24$ .

$5 x \geq 20$

Step 4

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

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Step 4.1

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

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $5$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $x$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $20$ by $5$ .

$x \geq 4$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x \geq 4$

Interval Notation:

$[4, \infty)$