Questions: Solve the following inequality. Graph the solution set. [ x-9+3<9 ] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There are infinitely many solutions. The solution set is . ... (Type your answer in interval notation.) B. There are finitely many solutions. The solution set is (Use a comma to separate answers as needed.) C. There is no real solution.

Solve the following inequality. Graph the solution set. [ x-9+3<9 ] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There are infinitely many solutions. The solution set is . ... (Type your answer in interval notation.) B. There are finitely many solutions. The solution set is (Use a comma to separate answers as needed.) C. There is no real solution.
Transcript text: Solve the following inequality. Graph the solution set. \[ |x-9|+3<9 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There are infinitely many solutions. The solution set is $\square$ . ... (Type your answer in interval notation.) B. There are finitely many solutions. The solution set is (Use a comma to separate answers as needed.) $\square$ C. There is no real solution.
failed

Solution

failed
failed

Solution Steps

Step 1: Solve the inequality

Given the inequality: \[ |x-9|+3<9 \]

First, isolate the absolute value term: \[ |x-9| < 6 \]

This inequality can be split into two separate inequalities: \[ -6 < x-9 < 6 \]

Step 2: Solve the inequalities

Solve each part of the compound inequality: \[ -6 < x-9 \quad \text{and} \quad x-9 < 6 \]

Add 9 to all parts of the inequality: \[ -6 + 9 < x < 6 + 9 \] \[ 3 < x < 15 \]

Final Answer

The solution set in interval notation is: \[ (3, 15) \]

Plot Information

{"axisType": 3, "coordSystem": {"xmin": 0, "xmax": 18, "ymin": -1, "ymax": 1}, "commands": ["y = 0"], "latex_expressions": ["$3 < x < 15$"]}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
On a CVP chart, on either side of the break-even point, the vertical distance between the total sales line and the total cost line represents: total loss to the right of the intersection total profit to the left of the intersection total profit to the right of the intersection total loss to the left of the intersection
failedAnswered
Could the spectrophotometer be used to determine the concentration of a table salt solution? Multiple Choice Yes, provided I made an absorption spectrum and calibration curve. No, table salt solutions are clear, they do not absorb in the visible range of wavelengths. No, the spectrophotometer is only used for biological molecules. Yes, table salt solutions absorb visible light wavelengths.
failedAnswered
Determine the probability of a six-year-old rainbow trout being less than 385 millimeters long: Fish story: According to a report by the U.S. Fish and Wildife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 484 millimeters with a standard deviation of 44 millimeters. Assume these lengths are normally distributed. It is or is not unusual because the probability of a six-year-old rainbow trout less than 385 millimeters long is
failedAnswered
What are the angles (a) and (b) in the actual molecule of which this is a Lewis structure?
failedAnswered
Books, articles, and newspapers are examples of primary research. True False