Solve -184leq8(1+4b)

$$- 184 \leq 8 ( 1 + 4 b )$$

Solve for b

$$b\geq -6$$

Solution Steps

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$\frac{-184}{8}\leq 1+4b$$

Divide -184 by 8 to get -23.

$$-23\leq 1+4b$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$1+4b\geq -23$$

Subtract 1 from both sides.

$$4b\geq -23-1$$

Subtract 1 from -23 to get -24.

$$4b\geq -24$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$b\geq \frac{-24}{4}$$

Divide -24 by 4 to get -6.

$$b\geq -6$$