Solve for r and graph the solution. 4+19rgeqslant 17r-6geqslant -10+19r

## Step 1The given inequality is . This inequality can be broken down into two separate inequalities: and .## Step 2Let's start with the first inequality . To isolate , we subtract from both sides, which gives us .## Step 3Next, we divide both sides by 2 to solve for , which gives us .## Step 4Now, let's solve the second inequality . To isolate , we subtract from both sides, which gives us .## Step 5Finally, we divide both sides by -2 to solve for , which gives us .## Step 6The solution to the original inequality is the intersection of the solutions to the two inequalities. This means that must satisfy both and . Therefore, the solution to the original inequality is .