Combine Like Terms: Step Title: Combine Like Terms Concise Step Description: Add 35r to both sides of the inequality to combine like terms. Step Calculation: 35r - 21 + 35r < -35r + 19 + 35r results in 70r - 21 < 19Isolate Variable Term: Step Title: Isolate the Variable Term Concise Step Description: Add 21 to both sides of the inequality to isolate the variable term. Step Calculation: 70r - 21 + 21 < 19 + 21 results in 70r < 40Solve for Variable: Step Title: Solve for the Variable Concise Step Description: Divide both sides of the inequality by 70 to solve for r. Step Calculation: 70r / 70 < 40 / 70 results in r < 4/7

Algebra 2

Factor polynomials

Full solution

35r-21 < -35r + 19

Combine Like Terms: Step Title: Combine Like Terms $\newline$ Concise Step Description: Add $35r$ to both sides of the inequality to combine like terms. $\newline$ Step Calculation: 35r - 21 + 35r < -35r + 19 + 35r results in 70r - 21 < 19
Isolate Variable Term: Step Title: Isolate the Variable Term $\newline$ Concise Step Description: Add $21$ to both sides of the inequality to isolate the variable term. $\newline$ Step Calculation: 70r - 21 + 21 < 19 + 21 results in 70r < 40
Solve for Variable: Step Title: Solve for the Variable $\newline$ Concise Step Description: Divide both sides of the inequality by $70$ to solve for $r$ . $\newline$ Step Calculation: \frac{70r}{70} < \frac{40}{70} results in r < \frac{4}{7}