#range of values

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halcyon pollen
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The question doesnt use equal to or greater than but the MS includes the boundaries in the calculations and im not sure why can some1 explain this to me?

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surley a HAS to only be -1 and b HAS to only be 0

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???

chrome socket
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this question is just about doing trial and errors using calculator, i would recommend using very closest values to figure out these conditions [for example : -2 < a < 0 just for first try use -1.9 and b as -0.9 then use other closest side of inequality] (i cant really explain this q however this might help)

glacial steppe
glacial steppe
# halcyon pollen The question doesnt use equal to or greater than but the MS includes the boundar...

Firstly the question is saying that GIVEN THAT -2<a<0 and -1<b<1 deduce some information

  • squaring a (or any real number) gives a²≥0 so the statement a²<0 is NEVER TRUE

  • squaring b again gives b²≥0 and applying the fact that b<1 gives b²<1 so 0≤b²<1 which falls inside of -1<b²<1 so id ALWAYS TRUE

  • We know a is a negative number but b is either negative or positive so b/a is either negative or positive so it is SOMETIMES TRUE that b/a<0

  • This one you could find when a-b is positive and negative as inequalities but since it is the "sometimes true" case is the weakest we can just give an example of when the statement is true and when it is not e.g -1.9-0.9=-1<0 and -0.1-(-0.9)=0.8>0 so is SOMETIMES TRUE

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glacial steppe
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Like there's some luck involved

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