Question

Consider the linear inequality:(x + 8) < 14

If the solution to the inequality is written as x > n, what number represents the value of n?

Answer 1

The given inequality (x + 8) < 14 simplifies to x < 6, therefore the solution in the form x > n does not apply as x is any number less than 6, not greater.

Step-by-step explanation:

The linear inequality given is (x + 8) < 14. To find the solution to this inequality in the form x > n, we first need to isolate x on one side of the inequality:

1. Subtract 8 from both sides: x + 8 - 8 < 14 - 8.
2. This simplifies to: x < 6.

However, the student is asked for an inequality in the form of x > n. Since our solution is x < 6, it indicates that x can be any number less than 6, not greater. Therefore, there seems to be a misunderstanding, as the solution in the desired form does not apply to this inequality.