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)

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)

Answer 1

4x + 5 < 25

4x < 20

x < 5

Therefore, the possible values of the number are any number less than 5.

Answer 2

yes yes and yes this is probaly correct

Answer 3

Let's break down the problem step by step.

Step 1: Translate the problem into an inequality.
The problem states that "five more than four times a number is less than 25." We can represent the unknown number as 'x'. So, the inequality can be written as: 4x + 5 < 25.

Step 2: Solve the inequality.
To solve the inequality, we'll isolate 'x' on one side of the inequality sign:
4x + 5 < 25
4x < 25 - 5
4x < 20

Next, divide both sides of the inequality by 4 to solve for 'x':
(4x)/4 < 20/4
x < 5

Step 3: Interpret the solution.
The inequality x < 5 represents all the possible values of the number 'x' that satisfy the original problem. This means that all real numbers less than 5 are possible values for 'x'.

The possible values of the number 'x' are: x < 5.

Answer 4

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.