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olya-2409 [2.1K]
3 years ago
13

Which ordered pair is in the solution set of the system of linear inequalities

Mathematics
2 answers:
kompoz [17]3 years ago
6 0
No solution
because a number can not be less than and greater than the same number.
Monica [59]3 years ago
5 0

Answer:

Option D, no solution

Step-by-step explanation:

The system of linear inequalities is

y > \frac{3}{2} (x) - 1 ------(1)

y < \frac{3}{2} (x) - 1 ------(2)

Inequality (1) has all the ordered pairs in the solution set above the line

y = \frac{3}{2} (x) - 1

and inequality (2) has all the ordered pairs in the solution set below the line

y = \frac{3}{2} (x) - 1

Therefore, solution set of these two inequalities will no be common.

Option D, no solution is the answer.

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____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

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