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

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers