Question

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

Answer 1

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

Explanation:

Substitute the values `(x,y)->(2,5)` into each equation.
If each equation is true then (2,5) is a solution.

Ineq1`->y>2x`
Ineq2`->y>=x+2`

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`color(blue)("Consider Ineq1")`

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

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`color(blue)("Consider Ineq2")`

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

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