Solve this problem by writing an inequality 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)
Let's represent the number as x.
The inequality for the given problem can be written as:
4x + 5 < 25
Subtracting 5 from both sides of the inequality, we have:
4x < 25 - 5
4x < 20
Finally, dividing both sides of the inequality by 4, we get:
x < 20/4
x < 5
Therefore, the possible values of the number are any value less than 5.
rewrite it
The inequality can be written as:
4x + 5 < 25
Subtracting 5 from both sides:
4x < 25 - 5
4x < 20
Dividing both sides by 4:
x < 20/4
x < 5
Therefore, the number x must be less than 5.
To solve the inequality "Five more than four times a number is less than 25," you can follow these steps:
Step 1: Let's assign a variable to represent the unknown number. Let's call it "x".
Step 2: Translate the given information into an inequality. The problem states that "Five more than four times a number is less than 25." This can be translated as:
4x + 5 < 25
Step 3: Solve the inequality.
Subtracting 5 from both sides of the inequality, we get:
4x < 25 - 5
4x < 20
Step 4: Divide both sides of the inequality by 4 to isolate the variable:
x < 20/4
x < 5
Therefore, the solution to the inequality is "x < 5." This means that the number must be less than 5.