Part 1) The points 1,2 and 4 are part of the solution

Part 2) The point 2 is not part of the solution

Part 3) Option 2. Dashed line, shade below

Part 4) The system of inequalities is

Step-by-step explanation:

Part 1) we have

Using a graphing tool

The graph in the attached figure

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must be belong to the shaded area of the solution

Plot the points

The points , 1,2 and 4 belong to the shaded area

therefore

The points 1,2 and 4 are part of the solution

Part 2) we have

Using a graphing tool

The graph in the attached figure

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must be belong to the shaded area of the solution

Plot the points

The point 2 not belong to the shaded area

therefore

The point 2 is not part of the solution

Part 3) we have

—–> first inequality

—–> second inequality

we know that

The solution of the second inequality is the shaded area below to the dashed line

The equation of the dashed line is

Part 4)

Let

x——> the number of hours at work as a cashier

y——> the number of hours at work as a baby sit

we know that

Simplify

—–> inequality A

—-> inequality B

—–> inequality C

—–> inequality D

The solution is the shaded area

see the attached figure