**Answer:**

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