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x-5 & lt; -3............... 1

2(x+9)>7-(x-5).....................2

From 1

x & lt2

Derived from equation 2

2x+ 18 & gt; 7 x+5

2x+ 18 & gt; 12-x

2x+x & gt; 12- 18

3x & gt-6

x & gt-2

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3(x+)& lt; 5x+4........................... 1

(x- 1)/2 & lt; =(2x- 1)/3...................2

From 1

3x+3 & lt; 5x+4

3x-5x & lt; 4-3

-2x & lt; 1

x & gt- 1/2

Derived from equation 2

3(x- 1)& lt; =2(2x- 1)

3x-3 & lt; =4x-2

3x-4x & lt; =3-2

-x & lt; = 1

x & gt=- 1

So x>- 1/2