Finite Math Examples

$- 7 x < - 2 x < - x$

Step 1

Divide each term in the inequality by $- 2$ .

$\frac{- 7 x}{- 2} > \frac{- 2 x}{- 2} > \frac{- x}{- 2}$

Step 2

Dividing two negative values results in a positive value.

$\frac{7 x}{2} > \frac{- 2 x}{- 2} > \frac{- x}{- 2}$

Step 3

Cancel the common factor of $- 2$ .

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Step 3.1

Cancel the common factor.

$\frac{7 x}{2} > \frac{- 2 x}{- 2} > \frac{- x}{- 2}$

Step 3.2

Divide $x$ by $1$ .

$\frac{7 x}{2} > x > \frac{- x}{- 2}$

Step 4

Dividing two negative values results in a positive value.

$\frac{7 x}{2} > x > \frac{x}{2}$

Step 5

Convert the inequality to interval notation.

$(\frac{7 x}{2}, \frac{x}{2})$

Step 6