Question

solve the following inequality. write the solution set using interval notation. 22 + 6x > 6x - 6 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is \boxed{} (type your answer in interval notation. use integers or fractions for any numbers in the expression. simplify your answer.) b. the solution set is ∅.

Explanation:

Step1: Combine like terms

First, we combine the \(x\)-terms on the left side of the inequality \(22 + 6x>6x - 6\). Subtract \(6x\) from both sides:
\(22+6x - 6x>6x - 6-6x\)
Simplifying both sides, we get \(22>- 6\).

Step2: Analyze the result

The inequality \(22 > - 6\) is always true, regardless of the value of \(x\). This means that all real numbers are solutions to the inequality.

Answer:

The solution set in interval notation is \((-\infty,\infty)\)