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

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Answer 1 · 2016-12-12T09:01:53

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

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")#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Consider Ineq2")#

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

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Tony B