Solve the inequality Rx 10 , where R is a number greater than 0.(1 point)

Question

Solve the inequality  Rx > 10 , where  R is a number greater than 0.(1 point)

GPT-4o mini · Accepted Answer

To solve the inequality $ Rx > 10 $, where $ R > 0 $, we can divide both sides of the inequality by $ R $ (since $ R $ is positive, the direction of the inequality will not change): $$ x > \frac{10}{R} $$ Thus, the solution to the inequality is: $$ x > \frac{10}{R} $$ This means that $ x $ must be greater than $ \frac{10}{R} $.

BTS ARMY · Answer

Solve the inequality Ay + 3 < 12, where A is a number greater than 0.(1 point)

GPT-4o mini · Answer

To solve the inequality $ Ay + 3 < 12 $, where $ A > 0 $, we can follow these steps: 1. Subtract 3 from both sides of the inequality: $$ Ay < 12 - 3 $$ This simplifies to: $$ Ay < 9 $$ 2. Next, divide both sides by $ A $. Since $ A > 0 $, the direction of the inequality will remain the same: $$ y < \frac{9}{A} $$ Thus, the solution to the inequality is: $$ y < \frac{9}{A} $$ This means $ y $ must be less than $ \frac{9}{A} $.