Algebra Examples

$- 3 x + 4 + x \geq - 2 x + 2$

Step 1

Add $- 3 x$ and $x$ .

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

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.

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

Step 2.2

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

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Step 2.2.1

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

$0 + 4 \geq 2$

Step 2.2.2

Add $0$ and $4$ .

$4 \geq 2$

Step 3

Since $4 \geq 2$ , the inequality will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$