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Answer:
[tex]\displaystyle x < -\frac{1}{2}[/tex]
Step-by-step explanation:
We will solve for x in the given inequality.
Given:
1/6(12 - 24x) > 4
Rewrite:
[tex]\displaystyle \frac{1}{6} (12 - 24x) > 4[/tex]
Distribute by dividing by 6:
[tex]\displaystyle 2 - 4x > 4[/tex]
Subtract 2 to both sides of the inequality:
[tex]\displaystyle - 4x > 2[/tex]
Divide both sides of the inequality by -4 and swap the sign:
[tex]\displaystyle x < -\frac{1}{2}[/tex]