Question

Solve -3x-6>4x+8 please

Answer 1

`\bf{-3x-6 > 4x+8}`

Subtract 4x on both sides.

`\bf{-3x-6-4x > 8}`

Combine -3x and -4x to get -7x.

`\bf{-7x-6 > 8 }`

Add 6 to both sides.

`\bf{-7x > 8+6 }`

Add 8 and 6 to get 14.

`\bf{-7x > 14 }`

Divide both sides by -7. Since -7 is < 0, the inequality direction is changed.

`\bf{x < (14)/(-7) }`

Divide 14 by -7 to get -2.

`\bf{x < -2 \ \ \to \ \ \ Answer}`

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Answer 2

Hi student, let me help you out!

.......................................................................................................

Let's solve this inequality by following these steps:

1. Add 6 to both sides.
2. Subtract 4x from both sides.
3. Solve for x.

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

Upon simplifying this, we obtain
`\pmb{-3x > 4x+14}`.

Step 2. Subtract 4x from both sides:
`\pmb{-3x-4x > 4x-4x+14}`.

Upon simplifying, we obtain
`\pmb{-7x > 14}`.

Step 3. Divide both sides by -7.

Upon carrying this out, we obtain
`\pmb{x < -2}`.

`\ddot\bigstar` Remember this...

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

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

Best Regards!

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