Question

Solve the following inequality and express your answer in Set-Builder Notation: "A number decreased by 4 is greater than 13." In Set-Builder Notation, represent the solution to this inequality.

Answer 1

To solve the inequality 'A number decreased by 4 is greater than 13,' you add 4 to both sides to find that x > 17. The solution in Set-Builder Notation is x .

Step-by-step explanation:

To solve the inequality 'A number decreased by 4 is greater than 13', we first need to set up the inequality properly. Let 'x' represent the number. The inequality can be written as:

x - 4 > 13

Next, we solve for 'x' by adding 4 to both sides:

x > 17

This tells us that the solution to the inequality includes all numbers greater than 17. In Set-Builder Notation, the solution can be expressed as:

x

This notation reads as 'the set of all 'x' such that 'x' is greater than 17'.