Solve -11c/6<(c-26)/3

$$- \frac { 11 c } { 6 } < \frac { ( c - 26 ) } { 3 }$$

Solve for c

$$c>4$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 6,3. Since 6 is positive, the inequality direction remains the same.

$$-11c<2\left(c-26\right)$$

Use the distributive property to multiply 2 by c-26.

$$-11c<2c-52$$

Subtract 2c from both sides.

$$-11c-2c<-52$$

Combine -11c and -2c to get -13c.

$$-13c<-52$$

Divide both sides by -13. Since -13 is negative, the inequality direction is changed.

$$c>\frac{-52}{-13}$$

Divide -52 by -13 to get 4.

$$c>4$$