Solve -4j-2/2leq4j+5

$$\frac { - 4 j - 2 } { 2 } \leq 4 j + 5$$

Solve for j

$$j\geq -1$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$-4j-2\leq 8j+10$$

Subtract 8j from both sides.

$$-4j-2-8j\leq 10$$

Combine -4j and -8j to get -12j.

$$-12j-2\leq 10$$

Add 2 to both sides.

$$-12j\leq 10+2$$

Add 10 and 2 to get 12.

$$-12j\leq 12$$

Divide both sides by -12. Since -12 is negative, the inequality direction is changed.

$$j\geq \frac{12}{-12}$$

Divide 12 by -12 to get -1.

$$j\geq -1$$