Algebra Examples

$18 \leq 3 (b - 4)$

Step 1

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

$3 (b - 4) \geq 18$

Step 2

Divide each term in $3 (b - 4) \geq 18$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 (b - 4) \geq 18$ by $3$ .

$\frac{3 (b - 4)}{3} \geq \frac{18}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 (b - 4)}{3} \geq \frac{18}{3}$

Step 2.2.1.2

Divide $b - 4$ by $1$ .

$b - 4 \geq \frac{18}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $18$ by $3$ .

$b - 4 \geq 6$

Step 3

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

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Step 3.1

Add $4$ to both sides of the inequality.

$b \geq 6 + 4$

Step 3.2

Add $6$ and $4$ .

$b \geq 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$b \geq 10$

Interval Notation:

$[10, \infty)$