Solve the inequality and graph the solution.
p
8
–17≥
–
18
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:
p/8 - 17/18 ≥ 0
First, we need to find a common denominator for 8 and 18, which is 72. Then, we can rewrite the inequality as:
(9p - 68)/72 ≥ 0
To solve this, we can analyze the numerator and denominator separately.
Numerator: 9p - 68 ≥ 0
9p ≥ 68
p ≥ 68/9
Denominator (72): Since the denominator is a positive value, it does not affect the sign of the inequality.
Therefore, the solution to the inequality is:
p ≥ 68/9
To graph the solution, we draw a number line and mark a closed circle at 68/9, indicating that it is included in the solution. Then, we draw a ray to the right, indicating all the values greater than or equal to 68/9.