Solve for l 6(l+3)<3(2l+6)

$6 (l + 3) < 3 (2 l + 6)$

Simplify $6 (l + 3)$ .

Start simplifying.

$0 + 0 + 6 (l + 3) < 3 (2 l + 6)$

Simplify by adding zeros.

$6 (l + 3) < 3 (2 l + 6)$

Apply the distributive property.

$6 l + 6 \cdot 3 < 3 (2 l + 6)$

Multiply $6$ by $3$ .

$6 l + 18 < 3 (2 l + 6)$

Simplify $3 (2 l + 6)$ .

Apply the distributive property.

$6 l + 18 < 3 (2 l) + 3 \cdot 6$

Multiply.

Multiply $2$ by $3$ .

$6 l + 18 < 6 l + 3 \cdot 6$

Multiply $3$ by $6$ .

$6 l + 18 < 6 l + 18$

Move all terms containing $l$ to the left side of the inequality.

Subtract $6 l$ from both sides of the inequality.

$6 l + 18 - 6 l < 18$

Combine the opposite terms in $6 l + 18 - 6 l$ .

Subtract $6 l$ from $6 l$ .

$0 + 18 < 18$

Add $0$ and $18$ .

$18 < 18$

Since $18 > 18$ , there are no solutions.

No solution