Solve the inequalities and represent the solution graphically on a number line:
$2(x-1) < x+5, 3(x+2) > 2-x$

(N/A) First,solve the first inequality:
$2(x-1) < x+5$
$2x - 2 < x + 5$
$2x - x < 5 + 2$
$x < 7$ ..... $(1)$
Next,solve the second inequality:
$3(x+2) > 2-x$
$3x + 6 > 2 - x$
$3x + x > 2 - 6$
$4x > -4$
$x > -1$ ..... $(2)$
From $(1)$ and $(2)$,the solution set is the intersection of $x < 7$ and $x > -1$,which is $(-1, 7)$.
The solution set $(-1, 7)$ is represented on the number line as an open interval between $-1$ and $7$.