Solve the Inequality for s -8s-4>3s+3

$- 8 s - 4 > 3 s + 3$

Step 1

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

Subtract $3 s$ from both sides of the inequality.

$- 8 s - 4 - 3 s > 3$

Subtract $3 s$ from $- 8 s$ .

$- 11 s - 4 > 3$

Step 2

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

Add $4$ to both sides of the inequality.

$- 11 s > 3 + 4$

Add $3$ and $4$ .

$- 11 s > 7$

Step 3

Divide each term in $- 11 s > 7$ by $- 11$ and simplify.

Divide each term in $- 11 s > 7$ by $- 11$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 11 s}{- 11} < \frac{7}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 s}{- 11} < \frac{7}{- 11}$

Divide $s$ by $1$ .

$s < \frac{7}{- 11}$

Simplify the right side.

Move the negative in front of the fraction.

$s < - \frac{7}{11}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$s < - \frac{7}{11}$

Interval Notation:

$(- \infty, - \frac{7}{11})$

Solve the Inequality for s -8s-4>3s+3

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