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True or False: The origin would be included in the solution set for the inequality: y < 2x - 5

Sagot :

AL2006
Sorry. That inequality would not include the origin.

It says that 'y' is everything less than x-5 .

When x=0, the origin is at y=0, but the limit of the inequality is way down at -5.
[tex]0<2\cdot0-5\\ 0<0-5\\ 0<-5\\ [/tex]

False.