Algebra Examples

$18 < 6 x \leq 60$

Step 1

Divide each term in the inequality by $6$ .

$\frac{18}{6} < \frac{6 x}{6} \leq \frac{60}{6}$

Step 2

Divide $18$ by $6$ .

$3 < \frac{6 x}{6} \leq \frac{60}{6}$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Cancel the common factor.

$3 < \frac{6 x}{6} \leq \frac{60}{6}$

Step 3.2

Divide $x$ by $1$ .

$3 < x \leq \frac{60}{6}$

$3 < x \leq \frac{60}{6}$

Step 4

Divide $60$ by $6$ .

$3 < x \leq 10$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$3 < x \leq 10$

Interval Notation:

$(3, 10]$

Step 6

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$