Solve 6(w+1)<2(w+5)

$$6 ( w + 1 ) < 2 ( w + 5 )$$

Solve for w

$$w<1$$

Solution Steps

Use the distributive property to multiply 6 by w+1.

$$6w+6<2\left(w+5\right)$$

Use the distributive property to multiply 2 by w+5.

$$6w+6<2w+10$$

Subtract 2w from both sides.

$$6w+6-2w<10$$

Combine 6w and -2w to get 4w.

$$4w+6<10$$

Subtract 6 from both sides.

$$4w<10-6$$

Subtract 6 from 10 to get 4.

$$4w<4$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$w<\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$w<1$$