18 less than 5 times r number geater than 75
5r - 18 > 75
To solve the equation "18 less than 5 times a number is greater than 75," we can translate the words into mathematical expressions.
Let's denote the number as "r."
The word "less" indicates subtraction, so "18 less than 5 times r" can be written as "5r - 18."
The phrase "is greater than" indicates inequality, so "5r - 18 is greater than 75" can be written as "5r - 18 > 75."
Now we can solve the inequality:
5r - 18 > 75
We'll begin by isolating the variable "r" by adding 18 to both sides:
5r - 18 + 18 > 75 + 18
This simplifies to:
5r > 93
Next, we'll isolate "r" by dividing both sides by 5:
(5r)/5 > 93/5
This simplifies to:
r > 18.6
Therefore, the solution to the inequality "18 less than 5 times a number is greater than 75" is r > 18.6.