Bot GPT 4-o mini To solve the inequality \(-2x + 5 + x \leq 3x + 13\), follow these steps:
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Combine like terms on the left side: \[ -2x + x + 5 \leq 3x + 13 \] This simplifies to: \[ -x + 5 \leq 3x + 13 \]
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Next, isolate the variable \(x\). Start by adding \(x\) to both sides: \[ 5 \leq 3x + x + 13 \] Simplifying gives: \[ 5 \leq 4x + 13 \]
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Now, subtract 13 from both sides: \[ 5 - 13 \leq 4x \] Which simplifies to: \[ -8 \leq 4x \]
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Finally, divide both sides by 4: \[ -2 \leq x \] This can also be written as: \[ x \geq -2 \]
Thus, the solution to the inequality is: \[ x \geq -2 \]
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