Solve for f. 10 < 2(f + 20) ______

Distribute and Simplify: First, we need to isolate the term with the variable f on one side of the inequality. We start by distributing the 2 across the parentheses. Calculation: 10 < 2(f + 20) becomes 10 < 2f + 40Subtract to Isolate: Next, we subtract 40 from both sides of the inequality to get the term with f by itself. Calculation: 10 - 40 -15

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Math Problems

Algebra 1

Solve advanced linear inequalities

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Q. Solve for

f

\newline

10 < 2(f + 20)

Distribute and Simplify: First, we need to isolate the term with the variable $f$ on one side of the inequality. We start by distributing the $2$ across the parentheses. $\newline$ Calculation: 10 < 2(f + 20) becomes 10 < 2f + 40
Subtract to Isolate: Next, we subtract $40$ from both sides of the inequality to get the term with $f$ by itself. $\newline$ Calculation: 10 - 40 < 2f + 40 - 40 which simplifies to -30 < 2f
Divide to Solve: Now, we divide both sides of the inequality by $2$ to solve for $f$ . Calculation: (-30)/2 < 2f/2 which simplifies to -15 < f
Final Answer: We have isolated $f$ and the inequality is now in its simplest form, showing the solution for $f$ . $\newline$ Final Answer: f > -15