Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤ [tex]\frac{12}{(-3)}[/tex]
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t > [tex]\frac{14}{7}[/tex]
t > 2
From the given graphs, Option (C) will be the answer.
