Solve for u 6u-18-4u<22

$6 u - 18 - 4 u < 22$

Step 1

Subtract $4 u$ from $6 u$ .

$2 u - 18 < 22$

Step 2

Move all terms not containing $u$ to the right side of the inequality.

Add $18$ to both sides of the inequality.

$2 u < 22 + 18$

Add $22$ and $18$ .

$2 u < 40$

Step 3

Divide each term in $2 u < 40$ by $2$ and simplify.

Divide each term in $2 u < 40$ by $2$ .

$\frac{2 u}{2} < \frac{40}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 u}{2} < \frac{40}{2}$

Divide $u$ by $1$ .

$u < \frac{40}{2}$

Simplify the right side.

Divide $40$ by $2$ .

$u < 20$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$u < 20$

Interval Notation:

$(- \infty, 20)$