Solve for w. 15 > 9(w - 17) - 3 ______

Distribute 9 and Simplify: First, distribute the 9 across the terms inside the parentheses. Calculation: 15 > 9(w - 17) - 3 becomes 15 > 9w - 153 - 3.Combine Like Terms: Next, combine like terms on the right side of the inequality. Calculation: 9w - 153 - 3 becomes 9w - 156.Isolate Variable Term: Now, we want to isolate the term with the variable w on one side of the inequality. Calculation: 15 > 9w - 156 can be rewritten as 15 + 156 > 9w by adding 156 to both sides.Addition and New Inequality: After adding 156 to both sides, we get a new inequality. Calculation: 15 + 156 > 9w becomes 171 > 9w.Divide by 9 to Solve: Finally, divide both sides of the inequality by 9 to solve for w. Calculation: 171 > 9w becomes 171/9 > w, which simplifies to 19 > w.

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

w

\newline

15 > 9(w - 17) - 3

Distribute $9$ and Simplify: First, distribute the $9$ across the terms inside the parentheses. $\newline$ Calculation: 15 > 9(w - 17) - 3 becomes 15 > 9w - 153 - 3.
Combine Like Terms: Next, combine like terms on the right side of the inequality. $\newline$ Calculation: $9w - 153 - 3$ becomes $9w - 156$ .
Isolate Variable Term: Now, we want to isolate the term with the variable $w$ on one side of the inequality. $\newline$ Calculation: 15 > 9w - 156 can be rewritten as 15 + 156 > 9w by adding $156$ to both sides.
Addition and New Inequality: After adding $156$ to both sides, we get a new inequality. $\newline$ Calculation: 15 + 156 > 9w becomes 171 > 9w.
Divide by $9$ to Solve: Finally, divide both sides of the inequality by $9$ to solve for $w$ . Calculation: 171 > 9w becomes \frac{171}{9} > w, which simplifies to 19 > w.