Solve the inequality and graph the solution.
j
2
+1≤
–
2
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
To solve the inequality, we will start by isolating the variable "j".
First, we subtract 1 from both sides:
j + 1 - 1 ≤ -2 - 1
j ≤ -3
The solution to the inequality is j ≤ -3.
To graph the solution, we will draw a number line and mark -3 with an open circle because the inequality is less than or equal to. Since the inequality is not strict, we won't shade any part of the number line. The arrow will be pointing towards the smaller values.
The graph will look like this:
<==================o-----------------
-3