What is the solution to the inequality \(7n - 2(n + 5) < 3n - 16\)?

7n-2(n+5)< 3n-16 / -3n-16 7n-2(n+5)-3n+16<0 5n-3n-10+16<0 2n-10+16<0 2n+6<0 / -6 2n< -6 / :2 n< -6/2 n< -3 n є(-∞:-3)

Answered by Anonymous | 2024-06-10

7n-2(n+5)< 3n-16 7n-2n+10<3n-16 Distribute the 2 into n+5 5n+10<3n-16 Subtract like figures 5n-3n+10<3n-3n-1 Subtract 3n from each side. (You want the variable on ONE side.) 2n+10-10<-16-10 Isolate the variable. Negative plus negative= bigger negative. 2n/2< -26/2 Negative divided by positive= smaller negative. Divide by 2 to isolate. n<-13

Answered by sammyguy | 2024-06-10

The solution to the inequality 7 n − 2 ( n + 5 ) < 3 n − 16 is n < − 3 , indicating that any value less than -3 satisfies the inequality. In interval notation, this is expressed as ( − ∞ , − 3 ) .
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Answered by Anonymous | 2024-12-20