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...
Let's assume that the number is represented by the variable 'x'.
The inequality for the given problem is: 4x + 5 < 25.
Now, let's solve the inequality step by step:
Subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5,
4x < 20.
Next, divide both sides of the inequality by 4 to solve for x:
(4x)/4 < 20/4,
x < 5.
Therefore, the possible values for the number 'x' in this problem are all real numbers less than 5.
Simplify
Apologies for the confusion. Let's simplify the inequality further.
We have 4x + 5 < 25.
Subtract 5 from both sides of the inequality:
4x < 25 - 5,
4x < 20.
Now, divide both sides of the inequality by 4:
(4x)/4 < 20/4,
x < 5.
Hence, the simplified inequality is x < 5. This means that the number 'x' can be any real number that is less than 5.
Shorten
Simplified inequality: x < 5.
No shorten the previous message you sent
Apologies for any confusion caused. Here's the shortened version:
4x + 5 < 25 simplifies to x < 5.
Let's assume that the number is represented by the variable 'x'.
The inequality for the given problem is: 4x + 5 < 25.
Now, let's solve the inequality step by step:
Subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5,
4x < 20.
Next, divide both sides of the inequality by 4 to solve for x:
(4x)/4 < 20/4,
x < 5.
Therefore, the possible values for the number 'x' in this problem are all real numbers less than 5. Shorten this sentence