Answer:
Option C
Step-by-step explanation:
We are given the following equation and we are to find the solution for this equation:
[tex] | \frac { s } { 2 } + 4 | < 2 [/tex]
For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.
[tex] \frac { s } { 2 } + 4 < 2 [/tex] and [tex] \frac { s } { 2 } + 4 < - 2 [/tex]
[tex] \frac { s } { 2} < 2 - 4 [/tex] and [tex] \frac { s } { 2} < - 2 - 4 [/tex]
[tex] s < - 2 \times 2 [/tex] and [tex] s < - 6 \times 2 [/tex]
s < -4 and s < -12
Therefore, the number line showing this solution set is C.
