Hi student, let me help you out!

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Let's solve this inequality by following these steps:

- Add 6 to both sides.

- Subtract 4x from both sides.

- Solve for x.

Step 1: Add 6 to both sides: [tex]\pmb{-3x-6+6 > 4x+8+6}[/tex].

Upon simplifying this, we obtain [tex]\pmb{-3x > 4x+14}[/tex].

Step 2. Subtract 4x from both sides: [tex]\pmb{-3x-4x > 4x-4x+14}[/tex].

Upon simplifying, we obtain [tex]\pmb{-7x > 14}[/tex].

Step 3. Divide both sides by -7.

Upon carrying this out, we obtain [tex]\pmb{x < -2}[/tex].

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{\sf{The\:sign\:of\:the\:inequality\:changes\:if\:both\:sides\:are\:divided/multiplied\:by\:a\:negative\:number}}[/tex]

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

[tex]\star\bigstar\overline{\overline{\underline{\underline{\bold{Reach\:far.\:Aim\:high.\:Dream\:big.}}}}}\bigstar\star[/tex]

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