Question 1040304
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What is the solution set for  -3(x-5)<7
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1.  Divide bot sides by (-3). You will get an equivalent inequality

    x - 5 > {{{-7/3}}}.   (Notice that I changed the inequality sign "<" by ">" when divided both sides of the inequality by the negative number !)


2. Add 5 to both sides of the last inequality. You will get an equivalent inequality 

    x > {{{-7/3 + 5}}},   or

    x > {{{-7/3 + 15/3}}},

    x > {{{(-7 + 15)/3}}}  --->  x > {{{8/3}}}  --->  x > {{{2}}}{{{2/3}}}.

<U>Answer</U>.  x > {{{2}}}{{{2/3}}}.
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