Q. 8 Solve聽x2-10x+24鈮�0... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 3: Q. 8 (page 174)

Solve $x^{2} - 10 x + 24 鈮� 0$

Short Answer

Expert verified

The solution of inequality is $\{x x 鈮� 4 or x 鈮� 6\}$ or in interval notation $(- 鈭�, 4] or [6, 鈭�)$ .

Step by step solution

Step 1. Given information.

Solve the given quadratic inequality.

$x^{2} - 10 x + 24 鈮� 0$

Step 2. Graph the function.

Graph the function $f (x) = x^{2} - 10 x + 24$ .

Step 3. Find intercept.

y- intercept: $f (0) = 0^{2} - 10 (0) + 24 = 24$

x- intercept: Solve $f (x) = 0$

$x^{2} - 10 x + 24 = 0 x^{2} - 4 x - 6 x + 24 = 0 x (x - 4) - 6 (x - 4) = 0 (x - 4) (x - 6) = 0 x = 4, x = 6$

So, the x-intercept are $x_{1} = 4 and x_{2} = 6$ .

The solution set is $\{x x 鈮� 4 or x 鈮� 6\}$ and in interval notation $(- 鈭�, 4] or [6, 鈭�)$ .

Step 4. Conclusion

The solution set of inequality is $\{x x 鈮� 4 or x 鈮� 6\}$ or in interval notation $(- 鈭�, 4] or [6, 鈭�)$ .

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x	$y = f (x)$
-2	-8
-1	-3
0	0
1	1
2	0

91影视

Solve $x^{2} - 10 x + 24 鈮� 0$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph the function.

Step 3. Find intercept.

Step 4. Conclusion

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91影视

Solvex2-10x+24鈮�0

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph the function.

Step 3. Find intercept.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Calculus

Logic and Functions

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve $x^{2} - 10 x + 24 鈮� 0$