Solve for b -2b+4>-6

$- 2 b + 4 > - 6$

Step 1

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

Subtract $4$ from both sides of the inequality.

$- 2 b > - 6 - 4$

Subtract $4$ from $- 6$ .

$- 2 b > - 10$

Step 2

Divide each term in $- 2 b > - 10$ by $- 2$ and simplify.

Divide each term in $- 2 b > - 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 b}{- 2} < \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 b}{- 2} < \frac{- 10}{- 2}$

Divide $b$ by $1$ .

$b < \frac{- 10}{- 2}$

Simplify the right side.

Divide $- 10$ by $- 2$ .

$b < 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b < 5$

Interval Notation:

$(- \infty, 5)$

Solve for b -2b+4>-6

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