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Chapter 8: Q8. (page 400)

Write an inequality represented by the graph.

Short Answer

Expert verified

The inequality x≥-5 represents the given graph.

Step by step solution

01

Step 1. Given Information.

Graph of an inequality:

02

Step 2. Calculation.

We have been given a number line inequality. We can see the arrow on the number line points to all values greater than or equal to -5.

We can also see that the point at -5 is filled in, so our given graph represents everything greater than or -5.

Upon representing our given information in an inequality, we will get:

x≥-5

Therefore, the inequality x≥-5 represents our given graph.

03

Step 3. Conclusion.

The inequality x≥-5 represents the given graph.

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Most popular questions from this chapter

Graph the equation. Tell whether the equation is a function.

y=2x-3

Tell whether the ordered pair is a solution of the equation.

y=-4x+9;3,-3

Evaluate the expression when x=-5 and y=-7.

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Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

-4,2,2,3,4,8,0,3,-2,2

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

20

25

30


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2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?
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