Answer:
Option 1: {x | x > 12 or x < 6}
Step-by-step explanation:
Given inequalities will be solved one by one:
[tex]\frac{2}{3}x >8\\2x > 8*3\\2x>24\\x > \frac{24}{12} \\x>12[/tex]
Or
[tex]\frac{2}{3}x<4\\2x<4*3\\2x<12\\x < \frac{12}{2}\\ x<6[/tex]
Hence we can see that the solution of both inequalities combined is:
x>12 or x<6
Hence, option 1 is correct ..
