Pre-Algebra Examples

$x - 4 < 4$ , $x - 4 > - 7$

Step 1

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

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Step 1.1

Add $4$ to both sides of the inequality.

$x < 4 + 4$

Step 1.2

Add $4$ and $4$ .

$x < 8$

Step 2

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

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Step 2.1

Add $4$ to both sides of the inequality.

$x > - 7 + 4$

Step 2.2

Add $- 7$ and $4$ .

$x > - 3$

Step 3

Find the intersection of $x < 8$ and $x > - 3$ .

$- 3 < x < 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$- 3 < x < 8$

Interval Notation:

$(- 3, 8)$

Step 5