Solve the Inequality for p -3p+2>5

$- 3 p + 2 > 5$

Step 1

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

Subtract $2$ from both sides of the inequality.

$- 3 p > 5 - 2$

Subtract $2$ from $5$ .

$- 3 p > 3$

Step 2

Divide each term in $- 3 p > 3$ by $- 3$ and simplify.

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

$\frac{- 3 p}{- 3} < \frac{3}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} < \frac{3}{- 3}$

Divide $p$ by $1$ .

$p < \frac{3}{- 3}$

Simplify the right side.

Divide $3$ by $- 3$ .

$p < - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$p < - 1$

Interval Notation:

$(- \infty, - 1)$

Solve the Inequality for p -3p+2>5

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