1
[tex]-4x-2<8[/tex]
Add 2 to both sides:
[tex]-4x<10[/tex]
Divide both sides by -4 (this is negative, so we have to swap the inequality sign):
[tex]x>\dfrac{5}{2}[/tex]
2
[tex]2(y-4)\leq 10-y[/tex]
Expand the left hand side:
[tex]2y-8\leq 10-y[/tex]
Add 8 and y to both sides:
[tex]3y\leq 18[/tex]
Divide both sides by 3
[tex]y \leq 6[/tex]
3-4
Nothing different from 1 and 2, apply the same logic (expand sides, gather constant and non-constant terms together, solve for the variable) and you will solve them