Question

Which of the values will not make 3x-8>12 true?a, 12b. 6c. 11d. 7please write out the answer to show me how you got the answer.

Answer 1

6 → b

solving the inequality

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

3x > 20 ( divide both sides by 3 )

x > $\frac{20}{3}$ ⇒ x > 6 $\frac{2}{3}$

thus x can equal any value greater than the given expression

It can equal 12, 11 and 7 but not 6 since 6 < 6 $\frac{2}{3}$

Answer 2

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