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3 cards from this section. Quick, good the night before a test.
Solve the inequality (𝑥-1)² < 0. What do you conclude?
Think about the nature of squares.
Is (𝑥+3)² ≥ 0 true for all values of 𝑥? Explain why.
Recall basic properties of squares.
If a quadratic expression is a perfect square, it can only be equal to zero at how many points?
Remember the definition of a perfect square.
True or False: The inequality (𝑥−2)² can be negative.
Reflect on the properties of squares.
Prove whether the inequality (𝑥−3)² < 4 holds for any value of x.
How does a perfect square relate to the boundaries you compute?
For the inequality (𝑥−1)² > 9, determine the values for x.
Visualize both sides of the square to find your answers!
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