Pre-Algebra Examples

$3 x - 6 < 2 x + 3$

Step 1

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

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Step 1.1

Subtract $2 x$ from both sides of the inequality.

$3 x - 6 - 2 x < 3$

Step 1.2

Subtract $2 x$ from $3 x$ .

$x - 6 < 3$

Step 2

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

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Step 2.1

Add $6$ to both sides of the inequality.

$x < 3 + 6$

Step 2.2

Add $3$ and $6$ .

$x < 9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 9$

Interval Notation:

$(- \infty, 9)$