Answer :

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]

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