Algebra Examples

$x + y > 5$ , $(3, 2)$

Step 1

Insert the values of $x = 3$ and $y = 2$ into the equation to find if the ordered pair is a solution.

$3 + 2 > 5$

Step 2

Add $3$ and $2$ .

$5 > 5$

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.

$0$

Step 4.2

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

$0$

Step 5

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and $0$ is always greater than $0$ .

All real numbers

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.