Question

Solve the inequality and graph the solution.
2>2in–4
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.

Answer 1

To solve the inequality 2>2in–4, we need to isolate the variable "in" on one side of the inequality symbol.

Starting with the given inequality:
2 > 2in - 4

First, we can add 4 to both sides of the inequality to get rid of the constant term on the right side:
2 + 4 > 2in - 4 + 4
6 > 2in

Next, we can divide both sides of the inequality by 2 to solve for "in":
6/2 > (2in)/2
3 > in

So the solution to the inequality is in < 3.

Graphing the solution on a number line:

We draw an open circle at 3 and an arrow pointing towards the left, indicating that the variable "in" can take any value less than 3 but not including 3.

---○---►----- (Numbers less than 3)

Therefore, the graph of the solution is an open ray to the left of 3 on the number line.