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Chapter 8: Q11. (page 400)

Solve the inequality. Graph the solution.

n3鈮�11

Short Answer

Expert verified

The solution for our given inequality would be n鈮�33 and in interval notation 33,鈭�.

Step by step solution

01

Step 1. Given Information.

An equation: n3鈮�11

02

Step 2. Concept used.

To solve an inequality, we use opposite operations as we use to solve an equation. When we divide or multiply both sides of an inequality by any negative number, it reverses the inequality.

03

Step 3. Calculation.

We will solve our given inequality using opposite operations as shown below:

n3鈮�11鈥�(骋颈惫别苍颈苍别辩耻补濒颈迟测)n3鈰�3鈮�11鈰�3(Multiplyingbothsidesby3鈥�)n鈮�33

Therefore, the solution for our given inequality would be all values of ngreater than or equal to 33. The solution of our given inequality in interval notation would be [33,鈭�).

Since, 33 is a solution of our given inequality, so we will have a solid dot at n=33. Upon graphing solution of our given inequality, we will get:

04

Step 4. Conclusion.

The solution for our given inequality would be n鈮�33 and in interval notation [33,鈭�).

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Most popular questions from this chapter

Graph the equation.

y=-x+3.

Tell whether the given value of the variable is a solution of the equation.

x+11=3;x=-8

The formula y鈮�2.59x converts an area xin square miles to an approximate area y in square kilometers. The state of Iowa has an area of 56,276 square miles. Find this area in square kilometers. Round your answer to the nearest thousand square kilometers.

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?

Graph the equation.

y=x-4.
See all solutions

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