High School

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Which of the values will not make [tex]3x - 8 > 12[/tex] true?

A. 12
B. 6
C. 11
D. 7

Please write out the answer to show how you got the answer.

Answer :

3x - 8 > 12

a) 3(12) - 8 > 12

36 - 8 > 12

26 > 12 TRUE

b) 3(6) - 8 > 12

18 - 8 > 12

10 > 12 FALSE

c) 3(11) - 8 > 12

33 - 8 > 12

25 > 12 TRUE

d) 3(7) - 8 > 12

21 - 8 > 12

13 > 12 TRUE

Answer: B

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Rewritten by : Barada

6 → b

solving the inequality

3x - 8 > 12 ( add 8 to both sides )

3x > 20 ( divide both sides by 3 )

x > [tex]\frac{20}{3}[/tex] ⇒ x > 6 [tex]\frac{2}{3}[/tex]

thus x can equal any value greater than the given expression

It can equal 12, 11 and 7 but not 6 since 6 < 6 [tex]\frac{2}{3}[/tex]