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three times the sum of a number and seven is greater than five times the number less thirteen in a equation

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Step-by-step explanation:
let n be the number
then the sum of this number and 7 is n+7
and 3 times this sum is 3(n + 7)
5 times the number less thirteen is 5n - 13
= 3(n + 7) > 5n - 13 + is the inequality distribute the brackets on the left side
3n + 21 > 5n - 13
subtract 3n from both sides
343n +21 > 50-31-13
21 > 2n - 13
add 13 to both sides
21 +13 > 2n13+13
34 > 2n
divide both sides by 2
17 > N = n < 17
User Felix Runye
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