We will check each options and verify it
(a)
[tex]18-2m<7+3m[/tex]
we can plug m=2
[tex]18-2\times 2<7+3\times 2[/tex]
[tex]18-4<7+6[/tex]
[tex]14<13[/tex]
so, this is FALSE
(b)
[tex]7x-\frac{x}{3} >19[/tex]
we can plug x=3
[tex]7\times 3-\frac{3}{3} >19[/tex]
[tex]21-1 >19[/tex]
[tex]20 >19[/tex]
so, this is TRUE
(c)
[tex]6x-1>4x+5[/tex]
we can plug x=3
[tex]6\times 3-1>4\times 3+5[/tex]
[tex]18-1>12+5[/tex]
[tex]17>17[/tex]
so, this is FALSE
(d)
[tex]2x^2-3x+1<x-\frac{x^2}{4}[/tex]
now, we can plug x=2
[tex]2(2)^2-3(2)+1<2-\frac{(2)^2}{4}[/tex]
[tex]8-6+1<2-1[/tex]
[tex]3<1[/tex]
So, this is FALSE
