Solve the inequality and graph the solution.
q
3
+1<
–
1
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 q + 3 + 1 < - 1, we can simplify it as follows:
q + 4 < -1
Next, we can isolate q by subtracting 4 from both sides:
q < -1 - 4
q < -5
The solution to the inequality is q < -5.
Now, let's graph the solution on a number line. Place an open circle on -5 and draw a ray to the left indicating all the values that are less than -5. The arrowhead should face towards the left.
Here is the graph of the solution on a number line:
-∞ ←---o--------------------------> -5 ---•---→ +∞