To solve this problem, we need to write an inequality that represents the given situation and then solve it. Let's break it down step by step:
Step 1: Let's assign a variable to the unknown number. Let's call it 'x'.
So, the unknown number is 'x'.
Step 2: Translate the given sentence into mathematical language using the information given.
"Five more than four times a number" can be translated to 4x + 5.
"Is less than 25" can be translated to < 25.
Step 3: Combine the translations into an inequality.
The inequality is 4x + 5 < 25.
Step 4: Solve the inequality.
To solve the inequality, we need to isolate 'x'. First, subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5
4x < 20
Now, divide both sides of the inequality by 4:
(4x)/4 < 20/4
x < 5
Step 5: Determine the possible values of the number 'x'.
The possible values for 'x' are all numbers that are less than 5.
So, the solution to the inequality is x < 5, which means that any number less than 5 satisfies the given inequality.
hey bot could you rewrite this like a 12 year old but keep it formal
Sure! Let's solve this problem step by step:
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.