Solve for s 2s+4<10-8s

$2 s + 4 < 10 - 8 s$

Step 1

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

Add $8 s$ to both sides of the inequality.

$2 s + 4 + 8 s < 10$

Add $2 s$ and $8 s$ .

$10 s + 4 < 10$

Step 2

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

Subtract $4$ from both sides of the inequality.

$10 s < 10 - 4$

Subtract $4$ from $10$ .

$10 s < 6$

Step 3

Divide each term in $10 s < 6$ by $10$ and simplify.

Divide each term in $10 s < 6$ by $10$ .

$\frac{10 s}{10} < \frac{6}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 s}{10} < \frac{6}{10}$

Divide $s$ by $1$ .

$s < \frac{6}{10}$

Simplify the right side.

Cancel the common factor of $6$ and $10$ .

Factor $2$ out of $6$ .

$s < \frac{2 (3)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$s < \frac{2 \cdot 3}{2 \cdot 5}$

Cancel the common factor.

$s < \frac{2 \cdot 3}{2 \cdot 5}$

Rewrite the expression.

$s < \frac{3}{5}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$s < \frac{3}{5}$

Interval Notation:

$(- \infty, \frac{3}{5})$