Step 1: We'll use a letter to represent the unknown number. Let's call it 'x'.

Step 2: We need to write a math sentence using the information given. The sentence "Five more than four times a number" can be written as 4x + 5. And "Is less than 25" means < 25.

Step 3: We put the translations together to form an inequality. The inequality is 4x + 5 < 25.

Step 4: Now, we need to solve the inequality. First, we subtract 5 from both sides of the inequality: 4x + 5 - 5 < 25 - 5 which becomes 4x < 20.

Next, we divide both sides of the inequality by 4: (4x)/4 < 20/4 which becomes x < 5.

Step 5: Finally, we find the possible values for 'x'. All the numbers that are less than 5 are the solutions to the inequality.

So to summarize, the solution to the inequality is x < 5, which means any number less than 5 fits the conditions of the problem.

hey bot can you simplify this

1 answer

Sure! The simplified form of the inequality 4x + 5 < 25 is x < 5.