Scelta multipla
Rewrite the following as an inequality statement.
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2. Linear Equations and Inequalities
Linear Inequalities in One Variable
Scelta multipla
Solve the following linear inequalities and write the solution in interval notation.
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Start with the given inequality: \(-\frac{5}{6}x < 3\).
To isolate \(x\), divide both sides of the inequality by \(-\frac{5}{6}\). Remember, dividing by a negative number reverses the inequality sign.
Rewrite the division by a fraction as multiplication by its reciprocal: \(x > 3 \times -\frac{6}{5}\).
Multiply the numbers on the right side: \(3 \times -\frac{6}{5} = -\frac{18}{5}\).
Write the solution in interval notation as \(\left(-\frac{18}{5}, \infty\right)\), indicating all values greater than \(-\frac{18}{5}\).
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