Solve for x -6<2x<=16

$- 6 < 2 x \leq 16$

Step 1

Divide each term in the inequality by $2$ .

$\frac{- 6}{2} < \frac{2 x}{2} \leq \frac{16}{2}$

Step 2

Divide $- 6$ by $2$ .

$- 3 < \frac{2 x}{2} \leq \frac{16}{2}$

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

$- 3 < \frac{2 x}{2} \leq \frac{16}{2}$

Divide $x$ by $1$ .

$- 3 < x \leq \frac{16}{2}$

$- 3 < x \leq \frac{16}{2}$

Step 4

Divide $16$ by $2$ .

$- 3 < x \leq 8$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$- 3 < x \leq 8$

Interval Notation:

$(- 3, 8]$

Step 6

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