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Chapter 3: Q48. (page 151)

Multiple Choice Which graph shows the solution of the inequality?

7-6x鈮�13

Short Answer

Expert verified

Correct option is D.

Step by step solution

01

Step-1- Solve the inequality

7鈭�6x鈮�13

Subtract 7 from both sides.

7鈭�6x鈭�7鈮�13鈭�7鈭�6x鈮�6

Divide by -6.

x鈮�6鈭�6x鈮�鈭�1

02

Step-2- Graph the inequality

The solution of the inequality isx鈮�鈭�1.

That means, all values x鈮�鈭�1satisfy the inequality. So, the graph can be given as shown below.

03

Step-3- Conclusion

From the given option, the correct choice is D.

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Most popular questions from this chapter

Solve the equation. Check your solution.

5n-2=3n+6

What are equivalent inequalities?

Write an equality to represent the situation. 鈥淵ou must be at least48 inches tall to ride the roller coaster鈥�.

Write an inequality represented by the graph.

Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
  2. Write an expression for the distance (in miles) they will be from home in x hours.
  3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
  4. Suppose they travel by local roads instead of highway. They travel the 700 miles at a speed of 45 miles per hour. How long will they drive before they are exactly halfway between Houston and their home?
See all solutions

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