Question

the number line below.
11 < x + 5
(there is a number line with marks 6, 8, 10, 12 and an arrow to the right)

Explanation:

Step1: Subtract 5 from both sides

To solve the inequality \(11 < x + 5\), we subtract 5 from both sides to isolate \(x\). This gives us \(11 - 5 < x + 5 - 5\).

Step2: Simplify both sides

Simplifying the left side: \(11 - 5 = 6\). Simplifying the right side: \(x + 5 - 5 = x\). So the inequality becomes \(6 < x\) or \(x > 6\).

Answer:

The solution to the inequality \(11 < x + 5\) is \(x > 6\). To graph this on the number line, we would have an open circle at 6 (since \(x\) is not equal to 6) and an arrow pointing to the right (indicating all numbers greater than 6).