Solve the following inequalities.
1. -4x – 2 < 8
2. 2(y – 4) ≤ 10 - y
3. -6 < 1/4(3 – x) < 12
4. 1/3(4 – x) > 6 or 2/5(x + 7) > 4

1

Add 2 to both sides:

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

2

Expand the left hand side:

Add 8 and y to both sides:

Divide both sides by 3

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

were is the equation

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3