Solve -38geq2(6K-1)

$$- 38 \geq 2 ( 6 K - 1 )$$

Solve for K

$$K\leq -3$$

Solution Steps

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$\frac{-38}{2}\geq 6K-1$$

Divide -38 by 2 to get -19.

$$-19\geq 6K-1$$

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

$$6K-1\leq -19$$

Add 1 to both sides.

$$6K\leq -19+1$$

Add -19 and 1 to get -18.

$$6K\leq -18$$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$K\leq \frac{-18}{6}$$

Divide -18 by 6 to get -3.

$$K\leq -3$$