solve this problem by writing and solving an inequality five more than four times is less than 25 what are the possicle values of the number show your steps

To solve the problem, we will write and solve an inequality.

Step 1: Let's assume the number is represented by variable "x".

Step 2: According to the problem, "five more than four times" can be represented as: 4x + 5.

Step 3: We are given that "five more than four times is less than 25", so we can write the inequality as: 4x + 5 < 25.

Step 4: To solve the inequality, we will isolate the variable "x" by subtracting 5 from both sides of the inequality: 4x < 25 - 5.

Simplifying, we have: 4x < 20.

Step 5: Finally, to solve for "x", we divide both sides of the inequality by 4: x < 20/4.

Simplifying, we get: x < 5.

Hence, the possible values for the number "x" are all numbers less than 5.