Problem

For individual or group discussion The solution set of a linear equation is...

For individual or group discussion

The solution set of a linear equation is closely related to the solution set of a linear inequality. Work Exercises in order to investigate this connection. Write answers in interval notation when appropriate.

Generalize your results from Exercises 119–121 by answering the questions that follow.

(a) What is the solution set of ax + b = 0 if a ≠ 0?

(b) Suppose a > 0. What are the solution sets of ax + b < 0 and ax + b > 0?

(c) Suppose a < 0. What are the solution sets of ax + b < 0 and ax + b > 0?

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