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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