Distribute 9: First, we need to distribute the 9 across the terms inside the parentheses.Calculation: 9(g−17)=9g−153Reasoning: Distributive propertya(b+c)=ab+ac.Math error check:
Isolate variable term: Next, we will isolate the variable term on one side of the inequality.Calculation: 9g−153≥−9Reasoning: The inequality is already set up to isolate the variable term.Math error check:
Add 153 to both sides: Now, we add 153 to both sides of the inequality to move the constant term to the other side.Calculation: 9g−153+153≥−9+153Reasoning: To isolate the variable, we need to get rid of the constant on the same side as the variable.Math error check:
Simplify after adding 153: Simplify the inequality after adding 153 to both sides.Calculation: 9g≥144Reasoning: Simplifying the inequality to find the value of g.Math error check:
Divide by 9: Finally, we divide both sides of the inequality by 9 to solve for g.Calculation: g≥9144Reasoning: To solve for g, we need to divide both sides by the coefficient of g.Math error check:
Simplify division: Simplify the division to find the final value of g.Calculation: g≥16Reasoning: Dividing 144 by 9 gives us the final value for g.Math error check: