Algebra Examples

2 x - 5 > x - 2

$2 x - 5 > x - 2$

Step 1

Move all terms containing

x

$x$ to the left side of the inequality.

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Step 1.1

Subtract

x

$x$ from both sides of the inequality.

2 x - 5 - x > - 2

$2 x - 5 - x > - 2$

Step 1.2

Subtract

x

$x$ from

2 x

$2 x$ .

x - 5 > - 2

$x - 5 > - 2$

x - 5 > - 2

$x - 5 > - 2$

Step 2

Move all terms not containing

x

$x$ to the right side of the inequality.

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Step 2.1

Add

5

$5$ to both sides of the inequality.

x > - 2 + 5

$x > - 2 + 5$

Step 2.2

Add

- 2

$- 2$ and

5

$5$ .

x > 3

$x > 3$

x > 3

$x > 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

x > 3

$x > 3$

Interval Notation:

(3, \infty)

$(3, \infty)$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$