Final answer:
To solve the inequality x/5 > 9, multiply both sides by 5 to get x > 45. The solution to the inequality is any value for x that is greater than 45.
Step-by-step explanation:
To solve the inequality x/5 > 9, we need to isolate the variable x on one side of the inequality. We can do this by multiplying both sides of the inequality by 5, since that is the denominator under the variable x.
Step-by-step solution:
Multiply both sides by 5 to get rid of the denominator: 5 * (x/5) > 5 * 9.
Simplify both sides: x > 45.
The inequality x > 45 can be interpreted as the value of x being greater than 45. This means that any number greater than 45 will satisfy the inequality.
Additionally, it is essential to understand that when solving an inequality, one can use an inequality symbol to show how two metric measurements or values are related, much like comparing 45 centimeters (45 cm) being less than 500 millimeters (500 mm).