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Rules of Inequalities Quiz
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Rules of Inequalities Quiz

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@GodlikeKoto

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Questions and Answers

Express the solution set graphically for the inequality 𝑥 ≤ -1.

  • Plot points at -1 and draw an arrow to the right.
  • Plot points at -1 and draw an arrow to the left.
  • Plot points at -1 and shade to the right. (correct)
  • Plot points at -1 and shade to the left.

    • For the inequality 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 ≥ 0, what condition must be met for 𝑎.𝑏 > 0?

  • 𝑎 > 0 or 𝑏 > 0
  • 𝑎 > 0 and 𝑏 > 0 (correct)
  • 𝑎 < 0 or 𝑏 < 0
  • 𝑎 < 0 and 𝑏 < 0

    • What is the solution set for the inequality 4𝑥 + 3 ≥ 3 𝑥 − 2?

  • {𝑥 : 𝑥 ≤ -5}
  • {𝑥 : 𝑥 ≤ 5}
  • {𝑥 : 𝑥 ≥ -5} (correct)
  • {𝑥 : 𝑥 ≥ 5}

    • What is the combined solution set for the inequality 𝑥 > 2 or 𝑥 < -3?

    <p>{𝑥 : 𝑥 &gt; 2} ∪ {𝑥 : 𝑥 &lt; -3}</p> Signup and view all the answers

    In the inequality 𝑥 ≤ -1, what does the point -1 signify?

    <p>Boundary of the solution set</p> Signup and view all the answers

    What does shading to the right on a number line represent in graphing inequalities?

    <p>Inclusive values</p> Signup and view all the answers

    Why is it important to consider the signs of both 𝑎 and 𝑏 in quadratic inequalities?

    <p>To find correct solution sets</p> Signup and view all the answers

    What is the significance of combining two inequalities with 'or' in a solution set?

    <p>Union of sets</p> Signup and view all the answers

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