Solve for p -3p-7<p+9

$- 3 p - 7 < p + 9$

Step 1

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

Subtract $p$ from both sides of the inequality.

$- 3 p - 7 - p < 9$

Subtract $p$ from $- 3 p$ .

$- 4 p - 7 < 9$

Step 2

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

Add $7$ to both sides of the inequality.

$- 4 p < 9 + 7$

Add $9$ and $7$ .

$- 4 p < 16$

Step 3

Divide each term in $- 4 p < 16$ by $- 4$ and simplify.

Divide each term in $- 4 p < 16$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 p}{- 4} > \frac{16}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 p}{- 4} > \frac{16}{- 4}$

Divide $p$ by $1$ .

$p > \frac{16}{- 4}$

Simplify the right side.

Divide $16$ by $- 4$ .

$p > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p > - 4$

Interval Notation:

$(- 4, \infty)$

Solve for p -3p-7<p+9

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