Solve the inequality and graph the solution.
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87≤72n+57
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 want to isolate "n" on one side of the inequality sign. Let's begin by subtracting 57 from both sides:
-87 - 57 ≤ 72n
Simplifying the left side:
-144 ≤ 72n
Next, we can divide both sides by 72:
-2 ≤ n
Now we have found the solution to the inequality. The solution is "n is greater than or equal to -2".
To graph the solution on a number line, we will plot a closed circle at -2 and draw an arrow to the right to indicate that the values of n that satisfy the inequality are greater than or equal to -2.
Here is a graphical representation of the solution:
---o================>
-2
The filled circle at -2 indicates that -2 is included in the solution, and the arrow to the right shows that all the values greater than -2 are also included in the solution to the inequality.