Question

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) also describe as a 7th grader simply make sure its ONLY text too.

Answer 1

To solve this problem, let's break it down step by step.

1. **Define the variable:** Let's use the letter "x" to represent the number we are looking for.

2. **Write the expression for the situation:** The problem states that "five more than four times a number is less than 25." We can express this in mathematical terms. Four times the number (x) is written as 4x. When we add five to that, we have 4x + 5. The phrase "is less than 25" translates to the mathematical symbol "<". So, we can write the inequality as:

4x + 5 < 25.

3. **Solve the inequality:** Now we will solve for x:

a. First, we want to get rid of the +5. We can do this by subtracting 5 from both sides of the inequality:

4x + 5 - 5 < 25 - 5,
which simplifies to:

4x < 20.

b. Next, we need to get x by itself. Since 4 is multiplying x, we can divide both sides of the inequality by 4:

4x / 4 < 20 / 4,
which simplifies to:

x < 5.

4. **Conclusion:** The solution to the inequality is x < 5. This means that the possible values for the number (x) can be any number that is less than 5. So, x can be 4, 3, 2, 1, 0, and even negative numbers like -1, -2, and so on, but it cannot be 5 or any number greater than 5.

So, in simple terms, any number less than 5 works for this problem!