Answer
x > -6
Explanation
We are asked to solve the inequality equation
[tex]\frac{x}{6}>-1[/tex]To solve this, we just simply multiply both sides by 6, that's usually the right approach for questions that involve fractions
[tex]\begin{gathered} \frac{x}{6}>-1 \\ \frac{x}{6}\times6>-1\times6 \\ x>-6 \end{gathered}[/tex]In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.
But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.
For x > -6, we will start with an unshaded circle and move towards the right as only numbers greater than -6.
The graph of this is attached under answers for this question.
Hope this Helps!!!
