Pre-Algebra Examples

$8 < 2 x - 10$

Step 1

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

$2 x - 10 > 8$

Step 2

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

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Step 2.1

Add $10$ to both sides of the inequality.

$2 x > 8 + 10$

Step 2.2

Add $8$ and $10$ .

$2 x > 18$

Step 3

Divide each term in $2 x > 18$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x > 18$ by $2$ .

$\frac{2 x}{2} > \frac{18}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} > \frac{18}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x > \frac{18}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $18$ by $2$ .

$x > 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 9$

Interval Notation:

$(9, \infty)$