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creativ13 [48]
2 years ago
5

A system of linear inequalities is shown above. ( in the picture )

Mathematics
1 answer:
astraxan [27]2 years ago
7 0

Answer:

C. (0, -3)

Step-by-step explanation:

The given system is

- 2x - 3 \leqslant y

y - 1 \:  <  \:  \frac{1}{2} x

The point that satisfies both inequalities is the solution to the system.

When x=0 and y=-3.

We substitute into the first inequality to get:

- 2(0) - 3 \leqslant  - 3 \\  - 3 \leqslant  - 3...true

We again substitute into the second inequality to get:

- 3- 1 \:  <  \:  \frac{1}{2} (0) \\  - 4 \:  <  \: 0....true

The point (0,-3) is a solution to the system of inequalities.

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3 years ago
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