Question
-2x+9<=3x=10
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Answered by
GPT-4o mini
It looks like you may have a typo in the inequality. It seems you meant to use "<=" for one part of the expression, but the "=", after "3x", suggests a separate equation. Let's break it down:
If you intended to solve the inequality \(-2x + 9 \leq 3x + 10\), we can solve it as follows:
1. Start with the inequality:
\[
-2x + 9 \leq 3x + 10
\]
2. Move the \(3x\) term to the left side by subtracting \(3x\) from both sides:
\[
-2x - 3x + 9 \leq 10
\]
This simplifies to:
\[
-5x + 9 \leq 10
\]
3. Now, move the \(9\) to the right side by subtracting \(9\) from both sides:
\[
-5x \leq 10 - 9
\]
This simplifies to:
\[
-5x \leq 1
\]
4. Finally, divide both sides by \(-5\). Remember that when you divide by a negative number, the inequality sign flips:
\[
x \geq -\frac{1}{5}
\]
So the solution to the inequality is:
\[
x \geq -\frac{1}{5}
\]
If this is not what you were looking for, please clarify your equation or inequality!
If you intended to solve the inequality \(-2x + 9 \leq 3x + 10\), we can solve it as follows:
1. Start with the inequality:
\[
-2x + 9 \leq 3x + 10
\]
2. Move the \(3x\) term to the left side by subtracting \(3x\) from both sides:
\[
-2x - 3x + 9 \leq 10
\]
This simplifies to:
\[
-5x + 9 \leq 10
\]
3. Now, move the \(9\) to the right side by subtracting \(9\) from both sides:
\[
-5x \leq 10 - 9
\]
This simplifies to:
\[
-5x \leq 1
\]
4. Finally, divide both sides by \(-5\). Remember that when you divide by a negative number, the inequality sign flips:
\[
x \geq -\frac{1}{5}
\]
So the solution to the inequality is:
\[
x \geq -\frac{1}{5}
\]
If this is not what you were looking for, please clarify your equation or inequality!
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