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

1 answer

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.