# How do you tell whether the ordered pair (2,5) is a solution to y>2x, y>=x+2?

Dec 12, 2016

The point (2,5) satisfies both inequalities so it is a solution

#### Explanation:

Substitute the values $\left(x , y\right) \to \left(2 , 5\right)$ into each equation.
If each equation is true then (2,5) is a solution.

Ineq1$\to y > 2 x$
Ineq2$\to y \ge x + 2$

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$\textcolor{b l u e}{\text{Consider Ineq1}}$

y>2x" "->" "5>2(2)" "->" "5>4" "color(red)(larr" True")

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$\textcolor{b l u e}{\text{Consider Ineq2}}$

y>=x+2" "->" "5>=(2)+2" "->" "5>=4" "color(red)(larr" True")

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