1. The problem describes the inequality $-2 \leq q < 4$ which defines a range of values for $q$. 2. This inequality means $q$ is greater than or equal to $-2$, and at the same time, $q$ is strictly less than $4$. 3. On a number line, this is represented by a solid dot at $-2$ indicating inclusion, and an open circle at $4$ indicating exclusion. 4. The thick line drawn between $-2$ and $4$ shows all values $q$ can take within this interval. 5. Therefore, the solution set for $q$ is all real numbers such that $-2 \leq q < 4$. 6. The representation and inequality confirm the range and the endpoints behavior clearly.