Algebra Examples

$- 2 x < - 2 (x - 4)$

Step 1

Simplify $- 2 (x - 4)$ .

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Step 1.1

Apply the distributive property.

$- 2 x < - 2 x - 2 \cdot - 4$

Step 1.2

Multiply $- 2$ by $- 4$ .

$- 2 x < - 2 x + 8$

Step 2

Move all terms containing $x$ to the left side of the inequality.

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Step 2.1

Add $2 x$ to both sides of the inequality.

$- 2 x + 2 x < 8$

Step 2.2

Add $- 2 x$ and $2 x$ .

$0 < 8$

Step 3

Since $0 < 8$ , the inequality will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$