Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

The lines of the inequalities are parallel, and the system of inequalities do not have any solution.

The system of inequalities are  given as:

The inequality y ≥ 2x + 1 has the following characteristics:

The inequality y ≤ 2x – 2 has the following characteristics:

See attachment for the graphs of the system of inequalities

Read more about system of inequalities at:

link

Step-by-step explanation:

Given the two inequalities:

To graph them, first of all, let us write their corresponding equations:

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation :

Putting x = 0, y = 1

Putting y = 0, x = .

Two points are (0, 1) and (, 0).

Equation :

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

Which is true.

So, The shaded region will be towards point (1,4).

Let us take a point (1, 4) and check whether it satisfies the second inequality.

So, The shaded region will be opposite to point (1,4).

Please refer to the attached graph for the answer.

No solution exists for them because there is no common shaded region.

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step-by-step explanation:

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the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950