Solve the Inequality for x -1<2x<=8

$- 1 < 2 x \leq 8$

Divide each term in the inequality by $2$ .

$\frac{- 1}{2} < \frac{2 x}{2} \leq \frac{8}{2}$

Move the negative in front of the fraction.

$- \frac{1}{2} < \frac{2 x}{2} \leq \frac{8}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- \frac{1}{2} < \frac{2 x}{2} \leq \frac{8}{2}$

Divide $x$ by $1$ .

$- \frac{1}{2} < x \leq \frac{8}{2}$

$- \frac{1}{2} < x \leq \frac{8}{2}$

Divide $8$ by $2$ .

$- \frac{1}{2} < x \leq 4$

The result can be shown in multiple forms.

Inequality Form:

$- \frac{1}{2} < x \leq 4$

Interval Notation:

$(- \frac{1}{2}, 4]$

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