Answer:
x > 11/-8
Explanation:
1/5(x + 2) -1/4(2-x)> 1/3(x + 4) -1/4(5-x)
=60×1/5(x +2)-60×1/4(2-x)>60×1/3 (x+4)-60×1/4(5-x)
=12(x +2)-15(2- x)> 20(x+4)-15(5-x)
=12x + 24 - 30 + 15x > 20x + 80 - 75 + 15x
=12x + 15x - 20x -15x > 80 -75 -24 +30
=27x -35x > 80 - 99 + 30
=-8x > 11
=-8x/-8 > 11/-8
=x > 11/-8.
Hence the truth set of the inequality is said that (x : x > 11/-8).