Algebra Examples

$- 1 \leq \frac{v - 2}{21}$

Step 1

Multiply both sides by $21$ .

$- 1 \cdot 21 \leq \frac{v - 2}{21} \cdot 21$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $- 1$ by $21$ .

$- 21 \leq \frac{v - 2}{21} \cdot 21$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $21$ .

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Step 2.2.1.1

Cancel the common factor.

$- 21 \leq \frac{v - 2}{21} \cdot 21$

Step 2.2.1.2

Rewrite the expression.

$- 21 \leq v - 2$

Step 3

Solve for $v$ .

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Step 3.1

Rewrite so $v$ is on the left side of the inequality.

$v - 2 \geq - 21$

Step 3.2

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

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Step 3.2.1

Add $2$ to both sides of the inequality.

$v \geq - 21 + 2$

Step 3.2.2

Add $- 21$ and $2$ .

$v \geq - 19$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$v \geq - 19$

Interval Notation:

$[- 19, \infty)$