Solve the Inequality for s -4s<6s+1

$- 4 s < 6 s + 1$

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

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

$- 4 s - 6 s < 1$

Subtract $6 s$ from $- 4 s$ .

$- 10 s < 1$

Divide each term in $- 10 s < 1$ by $- 10$ and simplify.

Divide each term in $- 10 s < 1$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 s}{- 10} > \frac{1}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 s}{- 10} > \frac{1}{- 10}$

Divide $s$ by $1$ .

$s > \frac{1}{- 10}$

Simplify the right side.

Move the negative in front of the fraction.

$s > - \frac{1}{10}$

The result can be shown in multiple forms.

Inequality Form:

$s > - \frac{1}{10}$

Interval Notation:

$(- \frac{1}{10}, \infty)$

Solve the Inequality for s -4s<6s+1

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