For exercise, solve the equations and inequalities. Write the solutions sets to

Anonym 2021-10-26 Answered
For exercise, solve the equations and inequalities. Write the solutions sets to the inequalities in interval notation if possible.
1x214x+400
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Expert Answer

ottcomn
Answered 2021-10-27 Author has 97 answers

Step 1: Analysis
Given:
1x214x+400
To determine the solution sets of the given inequality.
Step 2: Simplification
Factorising the term x214x+40.
Let p(x)=x214x+40
p(x)=x214x+40
=x24x10x+40
=x(x4)10(x4)
=(x10)(x4)
when x=10,4.p(x)=0
when x(,4).p(x)>0
when x(4,10).p(x)<0
when x(10,).p(x)>0
Step 3: Solution
For 1x214x+400.
x214x+40 should be less than 0.
x214x+40<0 when x(4,10)
Therefore, the solution set of the given inequality is (4,10)

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