Solve the inequality. Write the solution in​ set-builder notation.

Question

negative 3
​(9xplus2​)greater thannegative 6negative 27
x
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Part 1
Solve the inequality. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
enter your response here

​(Type an​ inequality.)
B.
The solution is all real numbers.
C.
There is no solution.

Answer 1

The inequality is: -3(9x+2) > -6(-27)

Simplifying the inequality:
-27x - 6 > 162

Adding 6 to both sides:
-27x > 168

Dividing by -27:
x < -168/27

The solution in set-builder notation is:
{x | x < -168/27}