Evaluate the expression \( 10-2 x \) for the \( x \)-values given below. \[ \begin{array}{ll}\text { a. } x=2 & \text { b. } x=\frac{1}{2} \\ \text { c. } x=-2\end{array} \] \[ \text { Hint (a): } \]

### Step-by-Step Solution **a. For \( x = 2 \):** 1. Substitute \( x = 2 \) into the expression: \[ 10 - 2 \times 2 \] 2. Multiply \( 2 \) by \( 2 \): \[ 10 - 4 \] 3. Subtract: \[ 10 - 4 = 6 \] **b. For \( x = \frac{1}{2} \):** 1. Substitute \( x = \frac{1}{2} \) into the expression: \[ 10 - 2 \times \frac{1}{2} \] 2. Multiply \( 2 \) by \( \frac{1}{2} \): \[ 2 \times \frac{1}{2} = 1 \] 3. Subtract: \[ 10 - 1 = 9 \] **c. For \( x = -2 \):** 1. Substitute \( x = -2 \) into the expression: \[ 10 - 2 \times (-2) \] 2. Multiply \( 2 \) by \(-2\): \[ 2 \times (-2) = -4 \] 3. Subtract (note the double negative turns into addition): \[ 10 - (-4) = 10 + 4 = 14 \] Thus, the final evaluations are: - For \( x = 2 \), the value is \( 6 \). - For \( x = \frac{1}{2} \), the value is \( 9 \). - For \( x = -2 \), the value is \( 14 \).