Let's assume the number is x. According to the problem, "Five more than four times a number is less than 25," we can write the inequality as 4x + 5 < 25. We can then solve this inequality to find the possible values of x.
First, we subtract 5 from both sides of the inequality: 4x < 20. Next, to isolate the variable x, we divide both sides of the inequality by 4: x < 5. So, the possible values for the number x are any real numbers that are less than 5.
In conclusion, the number x must be less than 5 in order for the inequality 4x + 5 < 25 to be true. Therefore, the set of possible values for the number x is (-∞, 5).
Slove 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 in two Paragraphs
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The problem states that "Five more than four times a number is less than 25." We can represent this situation using the inequality 4x + 5 < 25, where x represents the number we are trying to find.
To solve this inequality, we will first subtract 5 from both sides to isolate the variable term: 4x < 20. Then, dividing both sides of the inequality by 4, we get x < 5. This means that the number must be less than 5 for the inequality to hold true.
Therefore, the possible values for the number x are any real numbers that are less than 5. In interval notation, we can express this as (-∞, 5).
The problem states that "Five more than four times a number is less than 25." We can represent this situation using the inequality 4x + 5 < 25, where x represents the number we are trying to find.
To solve this inequality, we will first subtract 5 from both sides to isolate the variable term: 4x < 20. Then, dividing both sides of the inequality by 4, we get x < 5. This means that the number must be less than 5 for the inequality to hold true.
Therefore, the possible values for the number x are any real numbers that are less than 5. In interval notation, we can express this as (-∞, 5).