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Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work. (4 points) make it sound like a 7th grader
Sure, let's solve this problem in a way that's easy to understand for someone in 7th grade!
First, let's break down the problem into smaller steps:
Step 1: Identify the unknown number.
In this problem, we don't know the exact value of the number mentioned. Let's call it "x" for now.
Step 2: Translate the words into math symbols.
"Five more than four times a number" means we can write it as 4x + 5.
Step 3: Write the inequality using the symbols.
Since we know that it is "less than 25," we can write the inequality as 4x + 5 < 25.
Step 4: Solve the inequality.
To solve the inequality, we need to isolate the variable (x) on one side of the inequality sign.
1. First, subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5 Simplifying this gives us:
4x < 20
2. Next, divide both sides of the inequality by 4:
(4x) / 4 < 20 / 4 Simplifying this gives us:
x < 5
Step 5: Interpret the result.
The inequality tells us that the number (x) is less than 5.
So, the possible values for the number (x) can be any number less than 5.
I hope this explanation helps! Let me know if there's anything else I can assist you with.
make it shorter and still sound like a 7th grader wrote it
Sure, here's a shorter explanation for a 7th grader:
To find the possible values of a number, we follow these steps:
Step 1: Let's call the number "x".
Step 2: Translate the words into math symbols:
"Five more than four times a number" is written as 4x + 5.
Step 3: Write the inequality using the symbols:
The inequality is 4x + 5 < 25.
Step 4: Solve the inequality by isolating x:
We need to get x alone.
First, subtract 5 from both sides: 4x < 20.
Then, divide both sides by 4: x < 5.
Step 5: Interpret the result:
The number (x) is less than 5.
So, the possible values for the number (x) can be any number less than 5.
I hope this explanation helps! Let me know if you need further assistance.