Solve x-1/3+1/2<-5

$$\frac { x - 1 } { 3 } + 1 / 2 < - 5$$

Solve for x

$$x<-\frac{31}{2}$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.

$$2\left(x-1\right)+3<-30$$

Use the distributive property to multiply 2 by x-1.

$$2x-2+3<-30$$

Add -2 and 3 to get 1.

$$2x+1<-30$$

Subtract 1 from both sides.

$$2x<-30-1$$

Subtract 1 from -30 to get -31.

$$2x<-31$$

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

$$x<-\frac{31}{2}$$