Algebra Examples

$- 7 x > 10$

Step 1

Divide each term in $- 7 x > 10$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} < \frac{10}{- 7}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 7$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 7 x}{- 7} < \frac{10}{- 7}$

Step 2.1.2

Divide $x$ by $1$ .

$x < \frac{10}{- 7}$

Step 3

Simplify the right side.

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Step 3.1

Move the negative in front of the fraction.

$x < - \frac{10}{7}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - \frac{10}{7}$

Interval Notation:

$(- \infty, - \frac{10}{7})$