Solve the inequality and graph the solution.
82–d>78
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 82–d > 78, we need to isolate the variable d.
First, subtract 82 from both sides of the inequality:
82 - d - 82 > 78 - 82
Simplifying:
-d > -4
Next, divide both sides of the inequality by -1. Remember that when we divide/multiply by a negative number, the direction of the inequality sign flips:
-d/-1 < -4/-1
Simplifying:
d < 4
The solution to the inequality is d < 4.
To graph the solution, we will plot a ray starting from 4 on the number line. Since the inequality is strict (d < 4), we will use an open circle at 4 to represent that it does not include the number 4. Then, we will draw a ray extending to the left to represent all the numbers less than 4.
The graph will look like this:
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