Convert to Set Notation 3(x-2)<18

$3 (x - 2) < 18$

Step 1

Solve $x < 8$ .

Divide each term in $3 (x - 2) < 18$ by $3$ and simplify.

Divide each term in $3 (x - 2) < 18$ by $3$ .

$\frac{3 (x - 2)}{3} < \frac{18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (x - 2)}{3} < \frac{18}{3}$

Divide $x - 2$ by $1$ .

$x - 2 < \frac{18}{3}$

Simplify the right side.

Divide $18$ by $3$ .

$x - 2 < 6$

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

Add $2$ to both sides of the inequality.

$x < 6 + 2$

Add $6$ and $2$ .

$x < 8$

Step 2

Use the inequality $x < 8$ to build the set notation.

${x | x < 8}$

Step 3