Algebra Examples

$\frac{m}{3} - 3 < - 6$

Step 1

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

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Step 1.1

Add $3$ to both sides of the inequality.

$\frac{m}{3} < - 6 + 3$

Step 1.2

Add $- 6$ and $3$ .

$\frac{m}{3} < - 3$

Step 2

Multiply both sides by $3$ .

$\frac{m}{3} \cdot 3 < - 3 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{m}{3} \cdot 3 < - 3 \cdot 3$

Step 3.1.1.2

Rewrite the expression.

$m < - 3 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 3$ by $3$ .

$m < - 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m < - 9$

Interval Notation:

$(- \infty, - 9)$