Solve the Inequality for w 7.2-3w<4.5

$7.2 - 3 w < 4.5$

Step 1

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

Subtract $7.2$ from both sides of the inequality.

$- 3 w < 4.5 - 7.2$

Subtract $7.2$ from $4.5$ .

$- 3 w < - 2.7$

Step 2

Divide each term in $- 3 w < - 2.7$ by $- 3$ and simplify.

Divide each term in $- 3 w < - 2.7$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 w}{- 3} > \frac{- 2.7}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 w}{- 3} > \frac{- 2.7}{- 3}$

Divide $w$ by $1$ .

$w > \frac{- 2.7}{- 3}$

Simplify the right side.

Divide $- 2.7$ by $- 3$ .

$w > 0.9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w > 0.9$

Interval Notation:

$(0.9, \infty)$

Solve the Inequality for w 7.2-3w<4.5

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