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Chapter 3: Q. 3 (page 176)

Solve the inequality 5x+3≥0and graph the solution set.

Short Answer

Expert verified

The solution set is xx≥-35and in interval notation[-35,∞).

Step by step solution

01

Step 1. Given information. 

Solve the inequality 5x+3≥0 and graph the solution set.

02

Step 2. Solve the inequality.

5x+3≥05x≥-3x≥-35

So, when x is greater or equal to -35, 5x+3≥0is true.

The solution set is xx≥-35and in interval notation[-35,∞).

03

Step 4. Graph the solution set.

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Most popular questions from this chapter

Graphy=2x-3.

If g(x)=5x-4,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant

Graph the function fby starting with the graph of y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=(x+2)2-2

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function

B(a)=-0.27a2+14.23a-120.16

(a) What is the age of unmarried women with the highest birthrate?

(b) What is the highest birthrate of unmarried women?

(c) Evaluate and interpret B(40).
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