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Questions and Answers
Express the solution set graphically for the inequality 𝑥 ≤ -1.
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?
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?
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?
What is the combined solution set for the inequality 𝑥 > 2 or 𝑥 < -3?
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In the inequality 𝑥 ≤ -1, what does the point -1 signify?
In the inequality 𝑥 ≤ -1, what does the point -1 signify?
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What does shading to the right on a number line represent in graphing inequalities?
What does shading to the right on a number line represent in graphing inequalities?
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Why is it important to consider the signs of both 𝑎 and 𝑏 in quadratic inequalities?
Why is it important to consider the signs of both 𝑎 and 𝑏 in quadratic inequalities?
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What is the significance of combining two inequalities with 'or' in a solution set?
What is the significance of combining two inequalities with 'or' in a solution set?
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