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
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).
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Apologies for the confusion. I made a mistake in the previous response. Let's correct it.
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).