Select all the correct answers.

Question

"Twenty-eight is more than four times another number" can be shown by the inequality 28 > 4n. Select the values of n which could possibly make this a true statement.

Answer 1

To find the values of \( n \) which could make the inequality \( 28 > 4n \) true, we can solve the inequality for \( n \):

1. Start with the inequality: \[ 28 > 4n \]

2. Divide both sides by 4: \[ \frac{28}{4} > n \] \[ 7 > n \]

This can be rewritten as: \[ n < 7 \]

So, any value of \( n \) that is less than 7 will satisfy the original inequality. Possible values of \( n \) could be, for example:

• \( n = 6 \)
• \( n = 5 \)
• \( n = 0 \)
• \( n = -1 \)
• \( n = -10 \)

All values less than 7 will satisfy the inequality \( 28 > 4n \). Therefore, the correct options would be any numbers less than 7.