Solve the one-variable inequality x−91<18

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.

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

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.