Solve the Inequality for w 37<7-10w

$37 < 7 - 10 w$

Step 1

Rewrite so $w$ is on the left side of the inequality.

$7 - 10 w > 37$

Step 2

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

Subtract $7$ from both sides of the inequality.

$- 10 w > 37 - 7$

Subtract $7$ from $37$ .

$- 10 w > 30$

Step 3

Divide each term in $- 10 w > 30$ by $- 10$ and simplify.

Divide each term in $- 10 w > 30$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 w}{- 10} < \frac{30}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 w}{- 10} < \frac{30}{- 10}$

Divide $w$ by $1$ .

$w < \frac{30}{- 10}$

Simplify the right side.

Divide $30$ by $- 10$ .

$w < - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w < - 3$

Interval Notation:

$(- \infty, - 3)$

Solve the Inequality for w 37<7-10w

Related Questions

Support LCMGCF.com by disabling your adblocker.