Solve the Inequality for x (-x)/3<5

$\frac{- x}{3} < 5$

Step 1

Multiply both sides by $3$ .

$\frac{- x}{3} \cdot 3 < 5 \cdot 3$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{- x}{3} \cdot 3 < 5 \cdot 3$

Rewrite the expression.

$- x < 5 \cdot 3$

Simplify the right side.

Multiply $5$ by $3$ .

$- x < 15$

Step 3

Divide each term in $- x < 15$ by $- 1$ and simplify.

Divide each term in $- x < 15$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{15}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{15}{- 1}$

Divide $x$ by $1$ .

$x > \frac{15}{- 1}$

Simplify the right side.

Divide $15$ by $- 1$ .

$x > - 15$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 15$

Interval Notation:

$(- 15, \infty)$

Solve the Inequality for x (-x)/3<5

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