Bot GPT 4-o mini To solve the inequality \(-3x + 8 > 44\), follow these steps:
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Isolate the term with the variable: Subtract 8 from both sides of the inequality to move the constant to the right side.
\[ -3x + 8 - 8 > 44 - 8 \]
This simplifies to:
\[ -3x > 36 \]
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Solve for \(x\): Next, divide both sides by \(-3\). When you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
\[ x < \frac{36}{-3} \]
Simplifying this gives:
\[ x < -12 \]
So, the solution to the inequality \(-3x + 8 > 44\) is:
\[ x < -12 \]
This means that any value of \(x\) that is less than \(-12\) will satisfy the original inequality.
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