Examples

x^{2} > y

$x^{2} > y$ ,

(2, 9)

$(2, 9)$

Step 1

Insert the values of

x = 2

$x = 2$ and

y = 9

$y = 9$ into the equation to find if the ordered pair is a solution.

{(2)}^{2} > 9

${(2)}^{2} > 9$

Step 2

Raise

2

$2$ to the power of

2

$2$ .

4 > 9

$4 > 9$

Step 3

The inequality is never true.

No solution

Step 4

Identify the leading coefficient.

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Step 4.1

The leading term in a polynomial is the term with the highest degree.

- 5

$- 5$

Step 4.2

The leading coefficient in a polynomial is the coefficient of the leading term.

- 5

$- 5$

- 5

$- 5$

Step 5

Since there are no real x-intercepts and the leading coefficient is negative, the parabola opens down and

- 5

$- 5$ is always less than

0

$0$ .

No solution

Step 6

Since the equation is not true when the values are used, the ordered pair is not a solution.

The ordered pair is not a solution to the equation.

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