Pre-Algebra Examples

$4 - 2 x > 10$

Step 1

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

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Step 1.1

Subtract $4$ from both sides of the inequality.

$- 2 x > 10 - 4$

Step 1.2

Subtract $4$ from $10$ .

$- 2 x > 6$

Step 2

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

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Step 2.1

Divide each term in $- 2 x > 6$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} < \frac{6}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} < \frac{6}{- 2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{6}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $- 2$ .

$x < - 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 3$

Interval Notation:

$(- \infty, - 3)$