Guzman Cox
04/03/2024 · Junior High School

Solve the inequality and write your answer in interval notation. \( 13+10 x \geq 17 x+19 \)

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Solve the equation \( 13+10x \geq 17x+19 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(13+10x\geq 17x+19\) - step1: Move the variable to the left side: \(13+10x-17x\geq 19\) - step2: Subtract the terms: \(13-7x\geq 19\) - step3: Move the constant to the right side: \(-7x\geq 19-13\) - step4: Subtract the numbers: \(-7x\geq 6\) - step5: Change the signs: \(7x\leq -6\) - step6: Divide both sides: \(\frac{7x}{7}\leq \frac{-6}{7}\) - step7: Divide the numbers: \(x\leq -\frac{6}{7}\) The solution to the inequality \(13+10x \geq 17x+19\) is \(x \leq -\frac{6}{7}\). Therefore, the answer in interval notation is \((- \infty, -\frac{6}{7}]\).

Quick Answer

\( x \leq -\frac{6}{7} \), interval notation: \((- \infty, -\frac{6}{7}]\)
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