Question

solve the inequality. state the solution set as an interval. if there is no solution, enter dne in the answer box. 4x + 4 > 6x - 4 the solution set as an interval is:

Explanation:

Step1: Subtract \(4x\) from both sides

To isolate the \(x\) terms, we subtract \(4x\) from both sides of the inequality \(4x + 4>6x - 4\). This gives us \(4>2x - 4\).

Step2: Add 4 to both sides

Next, we add 4 to both sides of the inequality \(4>2x - 4\) to isolate the term with \(x\). This results in \(8>2x\).

Step3: Divide by 2

Then, we divide both sides of the inequality \(8>2x\) by 2. When we do this, we get \(4>x\), which can also be written as \(x < 4\).

Step4: Express as an interval

The inequality \(x < 4\) in interval notation is \((-\infty, 4)\).

Answer:

\((-\infty, 4)\)