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Video transcript

is to comma five a solution of this system and we have a system of inequalities right over here and we have Y is greater than or equal to two X plus one and X is greater than one in order for two comma five to be a solution of the system it just has to satisfy both inequalities so just just try it out so let's so when X is equal to two and Y is equal to five it has to satisfy both of these so let's try it with the first one so if we assume X is two and Y is five we would get an inequality that says five is greater than or equal to two times two plus one X is two Y is five this gives us five is greater than or equal to 2 times 2 is 4 plus 1 is 5 y is greater than or equal to 5 that's true what five is equal to five so that that equal part of the greater than or equal saves us so it definitely satisfies the first inequality let's see the second one X needs to be greater than one so in 2 comma 5 X is 2 so 2 is greater than 1 so it actually satisfies both of these inequalities so 2 comma 5 is a solution for this system