Answered

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Which value below is included in the solution set for the inequality statement?-3(x-4) > 6(x-1)-1273

Sagot :

Simplify the inequality and then check which of those values is included in the solution set:

[tex]\begin{gathered} -3(x-4)>6(x-1) \\ \Rightarrow-3x+12>6x-6 \\ \Rightarrow-3x-6x>-6-12 \\ \Rightarrow-9x>-18 \\ \Rightarrow9x<18 \\ \Rightarrow x<\frac{18}{9} \\ \Rightarrow x<2 \end{gathered}[/tex]

From the options -1, 2,7 and 3, the only number which is less tan 2 is -1.

Therefore, the only value below included in the solution set is:

[tex]-1[/tex]

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