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15-04-2021
Mathematics

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Find the values of x for which the following inequalities are satisfied 2x^2+3x<14

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15-04-2021

Answer:

x<-3.5 or x<2

Step-by-step explanation:

2x²+3x<14

2x²+3x-14<0

2x²-4x+7x-14<0

2x(x-2)+7(x-2)<0

(2x+7)(x-2)<0

2x+7<0 or x-2<0

2x<-7 or x<2

x<-3.5

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