Mathematics: What is the sum of all integers that satisfy -3n 7n-20 3n

What is the sum of all integers that satisfy -3n 7n-20

Ответ:

adjjones2011

14.03.2022

First let's solve the inequality

-3n<7n-20<3n
0<10n-20<6n
0<10n-6n<20
0<4n<20
0<n<5

n ∈ ]0,5[

the integers in this interval are 1,2,3,4 . their sum is 10

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Ответ:

bunng7387

02.03.2023

Mathematics

$-7t^2 - 2t + 9 = 0\\
-7t^2+7t-9t+9=0\\
-7t(t-1)-9(t-1)=0\\
-(7t+9)(t-1)=0\\
t=-\dfrac{9}{7} \vee t=1$

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What is the sum of all integers that satisfy -3n< 7n-20< 3n

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