Question

Solve the following compound inequality x + 122 and 2x – 822

Answer 1

[5, ∞)

Step-by-step explanation

First we have to solve each inequality separately:

`\begin{gathered} x+1\ge2 \\ x\ge2-1 \\ x\ge1 \end{gathered}`

And the other inequality

`\begin{gathered} 2x-8\ge2 \\ 2x\ge2+8 \\ 2x\ge10 \\ x\ge(10)/(2) \\ x\ge5 \end{gathered}`

Graphing this solution set:

Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)