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Chapter 2: Q 313 (page 183)

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

5u鈮�8u-21

Short Answer

Expert verified

The solution interval for the given inequality 5u鈮�8u-21is [7,鈭�)and representation on number line is :-

Step by step solution

01

Step 1. Given information

We have given the following inequality :-

5u鈮�8u-21

02

Step 2. Solve the inequality 

To solve the inequality add 21 on both sides, then we have :-

5u+21鈮�8u-21+21鈬�5u+21鈮�8u

Subtract 5ufrom both sides, then we have :-

role="math" 5u+21-5u鈮�8u-5u鈬�21鈮�3u

Now divide both sides by 3, then we have :-

213鈮�3u3鈬�7鈮�uoru鈮�7

03

Step 3. Final conclusion

We find that :-

u鈮�7

So the solution interval is [7,鈭�).

Representation of solution on number line is as following :-

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