Sure, let's evaluate the given expression step-by-step: [tex]\( 2\left(5 - \left(\frac{1}{2} m\right)\right) - 7 \)[/tex] where [tex]\( m = 4 \)[/tex].
1. Substitute the value of [tex]\( m \)[/tex] into the expression:
[tex]\[
2\left(5 - \left(\frac{1}{2} \times 4 \right)\right) - 7
\][/tex]
2. Simplify the inner fraction:
[tex]\[
\frac{1}{2} \times 4 = 2
\][/tex]
3. Subtract the result from 5:
[tex]\[
5 - 2 = 3
\][/tex]
4. Multiply the result by 2:
[tex]\[
2 \times 3 = 6
\][/tex]
5. Subtract 7 from the result:
[tex]\[
6 - 7 = -1
\][/tex]
So, the final result of the expression is [tex]\( -1 \)[/tex].
Based on the options given:
- The correct answer is [tex]\( -1 \)[/tex].
