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Chapter 2: Q 312 (page 183)

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

4v鈮�9v-40.

Short Answer

Expert verified

The solution interval of the given inequality 4v鈮�9v-40is (-鈭�,8]and representation of solution is :-

Step by step solution

01

Step 1. Given information

We have given the following inequality :-

4v鈮�9v-40.

02

Step 2. Solve the inequality

To solve the inequality add 40 on both sides, then we have :-

4v+40鈮�9v-40+40鈬�4v+40鈮�9v

Now subtract 4vfrom both sides, then we have :-

4v+40-4v鈮�9v-4v鈬�40鈮�5v

Now divide both sides by 5, then we have :-

405鈮�5v5鈬�8鈮�v鈬�v鈮�8

03

Step 3. Final conclusion

We find that :-

v鈮�8.

So the solution interval is (-鈭�,8].

Representation of solution on number line is as following :-

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