Question

does the sign need to flip when solving? 8y ≥ (-40)

Explanation:

Step1: Recall inequality rule

The rule for solving inequalities: when dividing or multiplying both sides of an inequality by a negative number, the inequality sign flips. If dividing/multiplying by a positive number, the sign remains.

Step2: Analyze the equation

The inequality is \(8y \geq - 40\). We divide both sides by 8 (a positive number) to solve for \(y\): \(\frac{8y}{8}\geq\frac{-40}{8}\), which simplifies to \(y\geq - 5\). Since we divided by a positive number (8), the inequality sign does not flip.

Answer:

NO