Algebra Examples

$0 \leq 2 x + 3 x$

Step 1

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

$2 x + 3 x \geq 0$

Step 2

Add $2 x$ and $3 x$ .

$5 x \geq 0$

Step 3

Divide each term in $5 x \geq 0$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 x \geq 0$ by $5$ .

$\frac{5 x}{5} \geq \frac{0}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} \geq \frac{0}{5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x \geq \frac{0}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $5$ .

$x \geq 0$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 0$

Interval Notation:

$[0, \infty)$