Answer:
{x | x < 2 and x < -4 }
Step-by-step explanation:
Given the inequality 5(x - 2)(x + 4) > 0?
This also means x - 2 < 0 and x + 4<0
For x - 2 < 0
Add 2 to both sides
x - 2 + 2 < 0 + 2
x < 2
Similarlry for x + 4 <0
Subtract 4 from both sides
x+4-4 < 0 -4
x < 0 -4
x < -4
x < 2 and x < -4
Hence the required solution is {x | x < 2 and x < -4 }
