12 times a number x, subtracted from 34, is greater than 8.

Write an inequality for the statement above.

Find a solution set for the inequality.

Write the solution using a fraction of integer .

Respuesta :

34 - 12x > 8 <=== ur inequality
-12x > 8 - 34
-12x > - 26
x < -26/-12
x < 13/6 (or 2 1/6)

Answer: [tex]34-12x>8[/tex]   and {x: x is less than 13/6}

Explanation:

We have given a statement 12 times a number x gives 12x

subtracted from 34 gives 34 -12x

greater than 8 finally gives 34 - 12x>8

Now, to find solution  for 34 -12x >8

we simplify the equation  -12x >-26

                                              x< 13/6

Now the solution set for the inequality is {x: x is less than 13/6}

and interval form is x belons to [tex](-{\infty},\frac{13}{6} )[/tex]