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  • Solve using the multiplication principle: 5 b < -10?

    Anonymous Christian
    Sep 5, 2014
    MATH, Reason
    Comments Off on Solve using the multiplication principle: 5 b < -10?

    Answer

    I’ll show you a slightly different way.
    I am assuming you know basic algebra.

    See, 5b < -10
    5b + 10 < -10 + 10 ( by adding 10 both sides )
    5b + 10 < 0
    5*( b + 2 ) < 0 ( Factorize out 5 )

    Now, just think for a second. The two numbers “5” and
    “(b +2) ” when multiplied, we require a negative ( i.e < 0 )
    result. Since 5 is positive, we must have that ( b + 2 ) must be negative. Why? because by convention only a positive number multiplied by a negative number yields a negative number and vice versa.

    Thus, ( b + 2 ) negative means that
    b + 2 < 0
    b + 2 -2 < 0 – 2 ( by substracting 2 both sides )
    b < -2

anonymous-christian

Jonathan Ramachandran is founder at AnonymousChristian.org which serves as a Christian Blog discussing the Greater Hope of Biblical Christian in Christ Alone. He is also an IMO (International Math Coach) and a featuring Guitarist for many bands.

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