In this lesson, we will learn how to solve polynomial inequalities whose functions intersect with the x-axis at one point at most.

Q1:

Find all solutions to the inequality π₯ + 1 2 1 β€ 0 2 . Write your answer as an interval.

Q2:

Find all solutions to the inequality π₯ + 3 6 > 0 2 . Write your answer as an interval.

Q3:

Find all solutions to the inequality π₯ + 8 1 > 0 2 . Write your answer as an interval.

Q4:

Find all solutions to the inequality π₯ + 1 6 9 > 0 2 . Write your answer as an interval.

Q5:

Find all solutions to the inequality π₯ + 1 > 0 2 . Write your answer as an interval.

Q6:

Find all solutions to the inequality π₯ + 1 0 0 β€ 0 2 . Write your answer as an interval.

Q7:

Find all solutions to the inequality π₯ + 2 5 6 β€ 0 2 . Write your answer as an interval.

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