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Solve the inequality for x 24x > 18(4x – 6) – 30

User Byorn
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Solve the inequality for x 24x > 18(4x – 6) – 30-example-1
User Peppermint Paddy
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Answer:

The required solution is:
x<(23)/(8) or x<2.875 or
\mathrm{Interval\:Notation:}&amp;\:\left(-\infty \:,\:(23)/(8)\right)\end{bmatrix}

Explanation:

Consider the provided inequity.


24x>18(4x-6)-30

We need to solve the above inequity of x.

Open the parentheses.


24x>18* 4x-18* 6-30


24x>72x-108-30


24x>72x-138

Subtract 72x from both sides.


24x-72x>72x-138-72x\\-48x>-138

Multiply both sides by -1 and reverse the inequality.


\left(-48x\right)\left(-1\right)<\left(-138\right)\left(-1\right)


48x<138

Divide both side by 48.


x<(23)/(8)

Hence, the required solution is:
x<(23)/(8) or x<2.875 or
\mathrm{Interval\:Notation:}&amp;\:\left(-\infty \:,\:(23)/(8)\right)\end{bmatrix}

User Daniel Fath
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