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5 votes
Is ( 0,0) a solution to this system? y<=x^2-4 y>2x-1?

User Mukta
by
8.9k points

2 Answers

1 vote

Answer:

The point
(0,0) is not a solution of the system of inequalities

Explanation:

we have


y\leq x^(2) -4 -----> inequality A


y> 2x-1 -----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must be satisfy the inequalities of the system

Verify

For
x=0, y=0

substitute the value of x and the value of y in the inequalkity A and in the inequality B

Inequality A


0\leq 0^(2) -4


0\leq -4 -------> is not true

therefore

The point
(0,0) is not a solution of the system of inequalities

User Blackraspberryyy
by
7.4k points
3 votes
No.

Your proposed solution does not satisfy the first inequatlity.
0 ≤ 0 - 4 . . . . . not true
User Andrew Bobulsky
by
8.9k points

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