Question

solve the following inequality and graph
8x - 8 < 7x + 7

Explanation:

Step1: Subtract \(7x\) from both sides

To isolate the variable \(x\), we subtract \(7x\) from each side of the inequality \(8x - 8 < 7x + 7\). This gives us \(8x - 7x - 8 < 7x - 7x + 7\), which simplifies to \(x - 8 < 7\).

Step2: Add 8 to both sides

Next, we add 8 to both sides of the inequality \(x - 8 < 7\) to solve for \(x\). Doing so, we get \(x - 8 + 8 < 7 + 8\), which simplifies to \(x < 15\).

Answer:

The solution to the inequality \(8x - 8 < 7x + 7\) is \(x < 15\).