prettybossniyah32
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  • 25-02-2022
  • Mathematics
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The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .

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MathWiz0001
MathWiz0001 MathWiz0001
  • 25-02-2022

Step-by-step explanation:

Substitute each value given (6, 7, 8, 9) into n:

[tex]4(6)-12<2(6)+2[/tex]

[tex]24-12<12+2[/tex]

[tex]12<14[/tex]

True.

[tex]4(7)-12<2(7)+2[/tex]

[tex]28-12<14+2[/tex]

[tex]16<16[/tex]

False.

[tex]4(8)-12<2(8)+2[/tex]

[tex]32-12<16+2[/tex]

[tex]20<18[/tex]

False.

[tex]4(9)-12<2(9)+2[/tex]

[tex]36-12<18+2[/tex]

[tex]24<20[/tex]
False.

The only value in the set that is true for n is 6.

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