Precalculus Examples

$x + 1 > 3$ , $x - 2 > 4$

Step 1

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

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Step 1.1

Subtract $1$ from both sides of the inequality.

$x > 3 - 1$ or $x - 2 > 4$

Step 1.2

Subtract $1$ from $3$ .

$x > 2$ or $x - 2 > 4$

Step 2

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

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Step 2.1

Add $2$ to both sides of the inequality.

$x > 2$ or $x > 4 + 2$

Step 2.2

Add $4$ and $2$ .

$x > 2$ or $x > 6$

Step 3

The union consists of all of the elements that are contained in each interval.

$x > 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$

Step 5