Solve the Inequality for p 3(p-3)-5p>-3p-6

$3 (p - 3) - 5 p > - 3 p - 6$

Step 1

Simplify $3 (p - 3) - 5 p$ .

Simplify each term.

Apply the distributive property.

$3 p + 3 \cdot - 3 - 5 p > - 3 p - 6$

Multiply $3$ by $- 3$ .

$3 p - 9 - 5 p > - 3 p - 6$

Subtract $5 p$ from $3 p$ .

$- 2 p - 9 > - 3 p - 6$

Step 2

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

Add $3 p$ to both sides of the inequality.

$- 2 p - 9 + 3 p > - 6$

Add $- 2 p$ and $3 p$ .

$p - 9 > - 6$

Step 3

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

Add $9$ to both sides of the inequality.

$p > - 6 + 9$

Add $- 6$ and $9$ .

$p > 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p > 3$

Interval Notation:

$(3, \infty)$