can you make this shorter
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.
To solve this problem, follow these steps:
1. Assign the unknown number as 'x'.
2. Translate the given sentence into mathematical language: "Five more than four times a number" becomes 4x + 5.
3. Combine the translations into 4x + 5 < 25.
4. Solve the inequality by subtracting 5 from both sides: 4x < 20.
5. Divide both sides by 4: x < 5.
6. The solution to the inequality is x < 5, meaning any number less than 5 satisfies the inequality.