Question

Solve the following inequalities.

Answer 1

1

$-4x-2$

Add 2 to both sides:

$-4x$

Divide both sides by -4 (this is negative, so we have to swap the inequality sign):

$x>\dfrac{5}{2}$

2

$2(y-4)\leq 10-y$

Expand the left hand side:

$2y-8\leq 10-y$

Add 8 and y to both sides:

$3y\leq 18$

Divide both sides by 3

$y \leq 6$

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