Chapter 4: Q. 44 (page 246)

Solve each inequality. Graph the solution set.
$\frac{(x - 2) (x - 1)}{x - 3} \geq 0$

Short Answer

Expert verified

The real zeroes of the function are 1,2 and 3 and the solution set can be graphed as

Step by step solution

Step 1. Given Information

The given inequality is $\frac{(x - 2) (x - 1)}{(x - 3)} \geq 0$

Step 2. Calculation

The inequality is already in a form with zero on the right side.

Solve the given inequality by finding the real zeroes of the numerator and denominator.

$x - 2 = 0 \Rightarrow x = 2 x - 1 = 0 \Rightarrow x = 1 x - 3 = 0 \Rightarrow x = 3$

Thus, real zeroes of the function are 1, 2 and 3.

Step 3. Graph

Construct the table by using a number from each interval to check whether the function is positive or negative.

Thus, the solution set is $\{x | 1 \leq x \leq 2 o r x > 3\}$

And the solution set can be graphed as

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Solve each inequality. Graph the solution set.
$\frac{(x - 2) (x - 1)}{x - 3} \geq 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Graph

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Solve each inequality. Graph the solution set.(x-2)(x-1)x-3≥0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Applied Mathematics

Probability and Statistics

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Geometry

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set.
$\frac{(x - 2) (x - 1)}{x - 3} \geq 0$