Solve the Inequality for b -2(b+1)+4<10

$- 2 (b + 1) + 4 < 10$

Step 1

Simplify $- 2 (b + 1) + 4$ .

Simplify each term.

Apply the distributive property.

$- 2 b - 2 \cdot 1 + 4 < 10$

Multiply $- 2$ by $1$ .

$- 2 b - 2 + 4 < 10$

Add $- 2$ and $4$ .

$- 2 b + 2 < 10$

Step 2

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

Subtract $2$ from both sides of the inequality.

$- 2 b < 10 - 2$

Subtract $2$ from $10$ .

$- 2 b < 8$

Step 3

Divide each term in $- 2 b < 8$ by $- 2$ and simplify.

Divide each term in $- 2 b < 8$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 b}{- 2} > \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 b}{- 2} > \frac{8}{- 2}$

Divide $b$ by $1$ .

$b > \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$b > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$b > - 4$

Interval Notation:

$(- 4, \infty)$

Solve the Inequality for b -2(b+1)+4<10

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