Solve 1/21/3x+4>-6

$$\frac { 1 } { 2 } \frac { 1 } { 3 } x + 4 > - 6$$

Solve for x

$$x>-60$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 3}x+4>-6$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$\frac{1}{6}x+4>-6$$

Subtract 4 from both sides.

$$\frac{1}{6}x>-6-4$$

Subtract 4 from -6 to get -10.

$$\frac{1}{6}x>-10$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}. Since \frac{1}{6} is positive, the inequality direction remains the same.

$$x>-10\times 6$$

Multiply -10 and 6 to get -60.

$$x>-60$$