Question

solve the linear inequality for a. write your answer in inequality notation.
2 ≥ a - 8
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Add 8 to both sides

To isolate \(a\), we add 8 to both sides of the inequality \(2 \geq a - 8\). This gives us \(2 + 8 \geq a - 8 + 8\).

Step2: Simplify both sides

Simplifying the left side: \(2 + 8 = 10\). Simplifying the right side: \(a - 8 + 8 = a\). So the inequality becomes \(10 \geq a\), or equivalently \(a \leq 10\).

Answer:

\(a \leq 10\)