Final answer:
To solve the inequality Max-4<50 |9x-4|<50, we can break it down into two parts. The first part is Max-4<50(9x-4), which simplifies to x>2/4.5. The second part is Max-4<50-(9x-4), which simplifies to x>-2. Therefore, the solution is -22/4.5.
Step-by-step explanation:
To solve the inequality Max-4 <50 |9x-4| < 50, we can break it down into two parts:
First, let's solve Max-4 <50 (9x-4):
Max-4 <50(9x-4)
Max-4 <450x-200
4+200 <450x - Max
204 < 450x - Max
204+Max < 450x
2 < 4.5x
x > 2/4.5
Second, let's solve Max-4 <50 -(9x-4):
Max-4 <50(-9x+4)
Max-4 <-450x+200
4+200 > -450x - Max
204 > -450x - Max
204+Max > -450x
-2 < x
x > -2
Therefore, the solution to the original inequality Max-4 <50 |9x-4| < 50 is: -2 < x > 2/4.5