Evaluate 53w+13<56w+16

$53 w + 13 < 56 w + 16$

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

Subtract $56 w$ from both sides of the inequality.

$53 w + 13 - 56 w < 16$

Subtract $56 w$ from $53 w$ .

$- 3 w + 13 < 16$

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

Subtract $13$ from both sides of the inequality.

$- 3 w < 16 - 13$

Subtract $13$ from $16$ .

$- 3 w < 3$

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

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

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $w$ by $1$ .

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

Simplify the right side.

Divide $3$ by $- 3$ .

$w > - 1$

The result can be shown in multiple forms.

Inequality Form:

$w > - 1$

Interval Notation:

$(- 1, \infty)$

Evaluate 53w+13<56w+16

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