# Is the ordered pair (3,13) a solution to the inequality: y >2x+ 1?

Dec 27, 2016

#### Answer:

This ordered pair is a solution to the inequality.

#### Explanation:

To determine if the ordered pair given in the problem is a solution to the inequality we must substitute a follows:

Substitute $\textcolor{b l u e}{3}$ for $\textcolor{b l u e}{x}$

Substitute $\textcolor{red}{13}$ for $\textcolor{red}{y}$

$\textcolor{red}{y} > 2 \textcolor{b l u e}{x} + 1$

Becomes:

$\textcolor{red}{13} > \left(2 \times \textcolor{b l u e}{3}\right) + 1$

Calculating out the right side of the inequality gives:

$\textcolor{red}{13} > \textcolor{b l u e}{6} + 1$

$\textcolor{red}{13} > \textcolor{b l u e}{7}$

13 is in fact greater than 7 therefore this ordered pair is a solution to the inequality.
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