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shepuryov [24]
3 years ago
10

Which point is NOT part of the solution of the inequality y ≥ −|x − 4| − 3? (–1, 1) (4, –4) (–3, 2) (0, 0)

Mathematics
1 answer:
sammy [17]3 years ago
8 0

ANSWER

(4,-4)

EXPLANATION

The given inequality is

y \geqslant  -  |x - 4|  - 3

If (-1,1) satisfies this inequality, then it is a solution.

We substitute x=-1 and y=1 into the inequality to get,

1 \geqslant  -  | - 1 - 4|  - 3

1 \geqslant  -  | -5|  - 3

1 \geqslant  -  5- 3

1 \geqslant  - 8

This is true. Hence (-1,1) is a solution.

We check for (4,-4) also.

- 4 \geqslant  -  |4- 4|  - 3

- 4 \geqslant  0  - 3

- 4 \geqslant- 3

This is false. Hence (4,-4) is not a solution.

Checking for (-3,2).

2 \geqslant  -  | - 3- 4|  - 3

2 \geqslant  -  | -7|  - 3

2 \geqslant  - 7 - 3

2 \geqslant  - 10

This is true. Hence (-3,2) is a solution to the inequality.

Checking for (0,0)

0 \geqslant  -  |0- 4|  - 3

0 \geqslant  -  4  - 3

0 \geqslant  - 7

This is true. Hence (0,0) is also a solution.

The correct choice is (4,-4)

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