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Chapter 9: Q. 525 (page 987)

In the following exercises, solve each inequality algebraically and write any solution in interval notation:

x2-6x+4鈮�0

Short Answer

Expert verified

The solution of the given inequality is-5+3,鈥�5+3.

Step by step solution

01

Step 1. Given information.  

We have:

x2-6x+4鈮�0

02

Step 2. Solve the inequality. 

Change the sign 鈮�with =and solve by quadratic formula.

For鈥�a鈥�quadratic鈥�equation鈥�of鈥�the鈥�form鈥�ax2+bx+c=0鈥�the鈥�solutions鈥�are鈥�For鈥�a=1,鈥�b=-6,鈥�c=4x1,鈥�2=--6卤-62-4路鈥�1路鈥�42路鈥�1x1,鈥�2=--6卤鈥�252路鈥�1x1=--6+252路鈥�1,鈥�x2=--6-252路鈥�1x=3+5,鈥�x=3-5

Interval notation:-5+3,鈥�5+3

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