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Chapter 4: Q. 4 (page 241)

True or False : The graph of $f (x) = \frac{x}{x - 3}$ is above the x-axis for $x < 0$ or $x > 3$ , so the solution set of the inequality $\frac{x}{x - 3} \geq 0$ is ${x : x \leq 0 o r x \geq 3}$ ..

Short Answer

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True.

Step by step solution

Step 1. The graph of f(x)=xx-3 is as follows.

The graph is above x-axis for $x < 0$ and $x > 3$ .

Step 2. The solution set of xx-3≥0 is {x:x≤0 or x≥3} is shown as :

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True or False : The graph of $f (x) = \frac{x}{x - 3}$ is above the x-axis for $x < 0$ or $x > 3$ , so the solution set of the inequality $\frac{x}{x - 3} \geq 0$ is ${x : x \leq 0 o r x \geq 3}$ ..

Short Answer

Step by step solution

Step 1. The graph of f(x)=xx-3 is as follows.

Step 2. The solution set of xx-3≥0 is {x:x≤0 or x≥3} is shown as :

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True or False : The graph off(x)=xx-3 is above the x-axis for x<0or x>3, so the solution set of the inequality xx-3≥0is {x:x≤0orx≥3}..

Short Answer

Step by step solution

Step 1. The graph of f(x)=xx-3 is as follows.

Step 2. The solution set of xx-3≥0 is {x:x≤0 or x≥3} is shown as :

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Pure Maths

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

True or False : The graph of $f (x) = \frac{x}{x - 3}$ is above the x-axis for $x < 0$ or $x > 3$ , so the solution set of the inequality $\frac{x}{x - 3} \geq 0$ is ${x : x \leq 0 o r x \geq 3}$ ..