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Solve the inequality 3u+3(u+1)>2u+7 and write the solution in interval notation.

1 Answer

5 votes

Given:

The given inequality is
3u+3(u+1)>2u+7

We need to determine the solution of the inequality in interval notation.

Solution of the inequality:

The solution of the inequality can be determined by simplifying the inequality.

Thus, we have,


3u+3u+3>2u+7


6u+3>2u+7

Subtracting both sides by 3, we get;


6 u>2 u+4

Subtracting both sides by 2u, we have;


4 u>4

Dividing both sides by 4, we get;


u>1

Writing it in interval notation, we get;


(1, \infty)

Thus, the solution of the inequality is
(1, \infty)

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