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Chapter 7: Q59. (page 352)

Solve the inequality $x^{2} - 8 x + 12 < 0$ algebraically.

Short Answer

Expert verified

The solution for the inequality is $2 < x < 6$ .

Step by step solution

01

Step 1. Write down the given inequality.

The given inequality is $x^{2} - 8 x + 12 < 0$ .

02

Step 2. Solve the given inequality.

Solving the inequality $x^{2} - 8 x + 12 < 0$ by factoring it.

$\begin{matrix} x^{2} 鈭� 8 x + 12 < 0.... (Given) \\ (x 鈭� 2) (x 鈭� 6) < 0.... (Factoring) \\ 2 < x < 6 \\ x 鈭� (2, 6) \end{matrix}$

03

Step 3. Conclusion.

The solution for the inequality is $2 < x < 6$ .

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Most popular questions from this chapter

If $p (x) = 3 x^{2} - 2 x + 5 and r (x) = x^{3} + x + 1$ then find $r (x + 1) - r (x^{2})$ .

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. State the number of real zeros.

Find $p (4) and p (- 2)$ for the function $p (x) = x^{2} - 3 x + 8$ .

If $p (x) = 3 x^{2} - 2 x + 5 and r (x) = x^{3} + x + 1$ then find $p (x^{2} + 3)$ .

Graph the function $y = \frac{1}{3} {(x + 5)}^{2} - 1$ .

See all solutions

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