Solve the Inequality for p -7p-4>26p-94

$- 7 p - 4 > 26 p - 94$

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

Subtract $26 p$ from both sides of the inequality.

$- 7 p - 4 - 26 p > - 94$

Subtract $26 p$ from $- 7 p$ .

$- 33 p - 4 > - 94$

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

Add $4$ to both sides of the inequality.

$- 33 p > - 94 + 4$

Add $- 94$ and $4$ .

$- 33 p > - 90$

Divide each term in $- 33 p > - 90$ by $- 33$ and simplify.

Divide each term in $- 33 p > - 90$ by $- 33$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 33 p}{- 33} < \frac{- 90}{- 33}$

Simplify the left side.

Cancel the common factor of $- 33$ .

Cancel the common factor.

$\frac{- 33 p}{- 33} < \frac{- 90}{- 33}$

Divide $p$ by $1$ .

$p < \frac{- 90}{- 33}$

Simplify the right side.

Cancel the common factor of $- 90$ and $- 33$ .

Factor $- 3$ out of $- 90$ .

$p < \frac{- 3 (30)}{- 33}$

Cancel the common factors.

Factor $- 3$ out of $- 33$ .

$p < \frac{- 3 \cdot 30}{- 3 \cdot 11}$

Cancel the common factor.

$p < \frac{- 3 \cdot 30}{- 3 \cdot 11}$

Rewrite the expression.

$p < \frac{30}{11}$

The result can be shown in multiple forms.

Inequality Form:

$p < \frac{30}{11}$

Interval Notation:

$(- \infty, \frac{30}{11})$

Solve the Inequality for p -7p-4>26p-94

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