Algebra Examples

$2 x - 2 + 2 x \geq 4 x - 9$

Step 1

Add $2 x$ and $2 x$ .

$4 x - 2 \geq 4 x - 9$

Step 2

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

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Step 2.1

Subtract $4 x$ from both sides of the inequality.

$4 x - 2 - 4 x \geq - 9$

Step 2.2

Combine the opposite terms in $4 x - 2 - 4 x$ .

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Step 2.2.1

Subtract $4 x$ from $4 x$ .

$0 - 2 \geq - 9$

Step 2.2.2

Subtract $2$ from $0$ .

$- 2 \geq - 9$

Step 3

Since $- 2 \geq - 9$ , the inequality will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$