Solve the Inequality for q -q/7>=-1

$- \frac{q}{7} \geq - 1$

Step 1

Divide each term in $- \frac{q}{7} \geq - 1$ by $- 1$ and simplify.

Divide each term in $- \frac{q}{7} \geq - 1$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{q}{7}}{- 1} \leq \frac{- 1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{q}{7}}{1} \leq \frac{- 1}{- 1}$

Divide $\frac{q}{7}$ by $1$ .

$\frac{q}{7} \leq \frac{- 1}{- 1}$

Simplify the right side.

Divide $- 1$ by $- 1$ .

$\frac{q}{7} \leq 1$

Step 2

Multiply both sides by $7$ .

$\frac{q}{7} \cdot 7 \leq 1 \cdot 7$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{q}{7} \cdot 7 \leq 1 \cdot 7$

Rewrite the expression.

$q \leq 1 \cdot 7$

Simplify the right side.

Multiply $7$ by $1$ .

$q \leq 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$q \leq 7$

Interval Notation:

$(- \infty, 7]$

Solve the Inequality for q -q/7>=-1

Related Questions

Support LCMGCF.com by disabling your adblocker.