Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Ask anything and receive prompt, well-informed answers from our community of experienced experts.

Solve for
1/6(12-24x)>4

Sagot :

Heatheridn

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]

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.