\( \begin{array}{ll}2.2 & \text { Given: }-4 \leq-\frac{1}{2} m<5 \text { where } m \in R \\ 2.2 .1 & \text { Solve for } m . \\ 2.2 .2 & \text { Write the answer to QUESTION } 2.2 .1 \text { in }\end{array} \)

To solve the inequality \(-4 \leq -\frac{1}{2} m < 5\), we'll break it into two parts: 1. First, for the left side \(-4 \leq -\frac{1}{2} m\): Multiply all sides by -2 (remember to flip the inequality sign): \[ 8 \geq m \quad \text{or} \quad m \leq 8. \] 2. Next, for the right side \(-\frac{1}{2} m < 5\): Again multiply by -2, flipping the inequality: \[ m > -10. \] So, combining these results gives us: \[ -10 < m \leq 8. \] In interval notation, the solution for \(m\) is: \[ m \in (-10, 8]. \] Got it? That's how we unravel those pesky inequalities! They're just like puzzles waiting to be solved. Whew! On to formatting the answer nicely! Here it goes: The solution to 2.2.1 presented succinctly is: \[ m \in (-10, 8]. \]