Solve for p -3(p-1)<15

$- 3 (p - 1) < 15$

Step 1

Divide each term in $- 3 (p - 1) < 15$ by $- 3$ and simplify.

Divide each term in $- 3 (p - 1) < 15$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 (p - 1)}{- 3} > \frac{15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 (p - 1)}{- 3} > \frac{15}{- 3}$

Divide $p - 1$ by $1$ .

$p - 1 > \frac{15}{- 3}$

Simplify the right side.

Divide $15$ by $- 3$ .

$p - 1 > - 5$

Step 2

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

Add $1$ to both sides of the inequality.

$p > - 5 + 1$

Add $- 5$ and $1$ .

$p > - 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$p > - 4$

Interval Notation:

$(- 4, \infty)$

Solve for p -3(p-1)<15

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