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Chapter 3: Q. 4 (page 151)

Solve the inequality. Graph and check your solution.

7鈮�5x-3

Short Answer

Expert verified

Solution of the inequality is x鈮�2.

Step by step solution

01

Step-1- Solve the inequality

7鈮�5x鈭�37+3鈮�5x鈭�3+3Add3onbothsides10鈮�5x105鈮�xDividebothsidesby42鈮�xx鈮�2

02

Step-2- Graph the inequality

The solution of the inequality isx鈮�2.

That means, all values x鈮�2satisfy the inequality. So, the graph can be given as shown below.

03

Step-3- Check the solution

To check the solution, take any random number,x鈮�2and substitute in the original inequality and observe the result.

Takex=0.

Then,

7鈮�5脳0鈭�37鈮�0鈭�37鈮�鈭�3

Observe that 7 is greater than -3. So, the result is true and hence the solution is correct.

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Most popular questions from this chapter

How is solving 3x-7=-5different from solving3x+7=-5?

Solve the equation. Check your solution.

9+2x=3x-2

The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for Labor. You paid \(78 for parts and \)45 for each hour of Labor. The total cost to repair the car was $168. How many hours did it take to repair the car?

  1. Copy and complete the verbal model.
    Total cost= _____+Cost for each hour of Labor _____
  2. Let h represent the number of hours spent on Labor. Write an equation based on your verbal model.
  3. Solve the equation to find how many hours it took to repair the car.

Solve the equation. Check your solution.

12=f2-8

NASA pilot must log at least 1000 hours as pilot 鈥� in 鈥� command of a jet aircraft. A NASA pilot has completed all other qualification and has 250 hours logged. How many more hours must the pilot log to become a pilot astronaut?

  1. Write an inequality to represent the situation.
  2. Solve the inequality. Draw the graph and check the solution.
  3. Interpret the solutions in terms of the real 鈥� life situations.
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