Solve for x -7x>1/15

$- 7 x > \frac{1}{15}$

Step 1

Divide each term in $- 7 x > \frac{1}{15}$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} < \frac{\frac{1}{15}}{- 7}$

Step 2

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} < \frac{\frac{1}{15}}{- 7}$

Divide $x$ by $1$ .

$x < \frac{\frac{1}{15}}{- 7}$

Step 3

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$x < \frac{1}{15} \cdot \frac{1}{- 7}$

Move the negative in front of the fraction.

$x < \frac{1}{15} (- \frac{1}{7})$

Multiply $\frac{1}{15} (- \frac{1}{7})$ .

Multiply $\frac{1}{15}$ by $\frac{1}{7}$ .

$x < - \frac{1}{15 \cdot 7}$

Multiply $15$ by $7$ .

$x < - \frac{1}{105}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - \frac{1}{105}$

Interval Notation:

$(- \infty, - \frac{1}{105})$

Solve for x -7x>1/15

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