Solve the one-variable inequality x−91<18

Answer 1

To solve the inequality \( x - 91 < 18 \), follow these steps:

1. Add 91 to both sides of the inequality to isolate \( x \):

   \[ x - 91 + 91 < 18 + 91 \]

   This simplifies to:

   \[ x < 109 \]

Therefore, the solution to the inequality is:

\[ x < 109 \]

This means that \( x \) can take any value less than 109.

Answer 2

Solve the one-variable inequality 3/5x>9

Answer 3

To solve the inequality \( \frac{3}{5}x > 9 \), follow these steps:

1. Multiply both sides of the inequality by \( \frac{5}{3} \) to isolate \( x \). Since \( \frac{5}{3} \) is a positive number, the direction of the inequality does not change:

   \[ \frac{5}{3} \cdot \frac{3}{5}x > \frac{5}{3} \cdot 9 \]

   This simplifies to:

   \[ x > \frac{5 \times 9}{3} \]

   Simplifying the right side:

   \[ x > \frac{45}{3} \quad \Rightarrow \quad x > 15 \]

Thus, the solution to the inequality is:

\[ x > 15 \]

This means that \( x \) can take any value greater than 15.