Pre-Algebra Examples

$- 3 b - 5 < - 8$

Step 1

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

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Step 1.1

Add $5$ to both sides of the inequality.

$- 3 b < - 8 + 5$

Step 1.2

Add $- 8$ and $5$ .

$- 3 b < - 3$

Step 2

Divide each term in $- 3 b < - 3$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 b < - 3$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 b}{- 3} > \frac{- 3}{- 3}$

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.

$\frac{- 3 b}{- 3} > \frac{- 3}{- 3}$

Step 2.2.1.2

Divide $b$ by $1$ .

$b > \frac{- 3}{- 3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 3$ by $- 3$ .

$b > 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b > 1$

Interval Notation:

$(1, \infty)$