Solve the Inequality for p -p+6p<=4+6p

$- p + 6 p \leq 4 + 6 p$

Step 1

Add $- p$ and $6 p$ .

$5 p \leq 4 + 6 p$

Step 2

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

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

$5 p - 6 p \leq 4$

Subtract $6 p$ from $5 p$ .

$- p \leq 4$

Step 3

Divide each term in $- p \leq 4$ by $- 1$ and simplify.

Divide each term in $- p \leq 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- p}{- 1} \geq \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{p}{1} \geq \frac{4}{- 1}$

Divide $p$ by $1$ .

$p \geq \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$p \geq - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p \geq - 4$

Interval Notation:

$[- 4, \infty)$

Solve the Inequality for p -p+6p<=4+6p

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