Solve the inequality and graph the solution.

Question

9>13–towards
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 9 > 13 - t, we can start by isolating the variable t.

First, subtract 13 from both sides:
9 - 13 > -t

Simplifying,
-4 > -t

Next, we need to multiply both sides by -1 to change the direction of the inequality sign. Remember, whenever we multiply or divide by a negative number, we must flip the inequality sign.
-4 * -1 < t

This gives us:
4 < t

To graph the solution, we can represent the inequality on a number line. We start by plotting a point at 4, and since the inequality sign is "less than," we indicate that the point is open.

Below is the number line representation:

|-----------o--> (Towards positive infinity)
... -3 -2 -1 0 1 2 3 4 5 ...
4 (Open point)

In this case, the solution for t is all values greater than 4, not including 4.