Solve -2-B/4leq1+B/3

$$- 2 - \frac { B } { 4 } \leq \frac { 1 + B } { 3 }$$

Solve for B

$$B\geq -4$$

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.

$$-24-3B\leq 4\left(1+B\right)$$

Use the distributive property to multiply 4 by 1+B.

$$-24-3B\leq 4+4B$$

Subtract 4B from both sides.

$$-24-3B-4B\leq 4$$

Combine -3B and -4B to get -7B.

$$-24-7B\leq 4$$

Add 24 to both sides.

$$-7B\leq 4+24$$

Add 4 and 24 to get 28.

$$-7B\leq 28$$

Divide both sides by -7. Since -7 is negative, the inequality direction is changed.

$$B\geq \frac{28}{-7}$$

Divide 28 by -7 to get -4.

$$B\geq -4$$