Solve for q 42<6q<66

$42 < 6 q < 66$

Step 1

Divide each term in the inequality by $6$ .

$\frac{42}{6} < \frac{6 q}{6} < \frac{66}{6}$

Step 2

Divide $42$ by $6$ .

$7 < \frac{6 q}{6} < \frac{66}{6}$

Step 3

Cancel the common factor of $6$ .

Cancel the common factor.

$7 < \frac{6 q}{6} < \frac{66}{6}$

Divide $q$ by $1$ .

$7 < q < \frac{66}{6}$

$7 < q < \frac{66}{6}$

Step 4

Divide $66$ by $6$ .

$7 < q < 11$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$7 < q < 11$

Interval Notation:

$(7, 11)$

Step 6

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