Questions and Answers
What does the inequality X represent?
x ≤ 24
When graphing b < 6, would you use an open or closed circle?
What does the inequality 9 ≥ -2m + 2 − 3 simplify to?
m ≥ -5
What is the solution of the inequality 3(x - 2) < 2(x + 9)?
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What does the inequality represent: There are no more than 18 students on the hall?
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When graphing m ≤ 5, would you use an open or closed circle?
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What is the solution for the inequality 12 ≥ 15 - 6y?
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What inequality could be used to determine how much can be paid monthly for a laptop costing at most $1200?
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When graphing x > -14, would you use an open or closed circle?
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What does the inequality -p - 4p > -10 simplify to?
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When graphing z < 7, would you use an open or closed circle?
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What is the solution to 6x + 10 > 5x - 12?
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What is the inequality represented by -3 - 6(4x + 6) > -111?
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What does the inequality 4(2a + 3) < 3(a - 1) simplify to?
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Study Notes
Inequalities and Graphing
- The inequality x ≤ 24 indicates that x can take any value less than or equal to 24.
- An open circle is used when graphing b < 6, indicating that b cannot equal 6.
- The inequality 9 ≥ -2m + 2 - 3 can be simplified to m ≥ -5.
- For the inequality 3(x - 2) < 2(x + 9), it results in x < 250.
- The statement s ≤ 18 expresses that the number of students is at most 18.
Graphing with Open and Closed Circles
- When graphing m ≤ 5, a closed circle is used to represent that m can equal 5.
- Similarly, an open circle is used when graphing x > -14, indicating x cannot equal -14.
- The inequality z < 7 is represented by an open circle, meaning z cannot equal 7.
Solving Inequalities
- To solve the inequality 12 ≥ 15 - 6y, the solution is y ≥ ½.
- For financial constraints, the inequality to determine monthly payments after a $400 down payment is 12x + 400 < 1200.
- The inequality -p - 4p > -10 simplifies to p < 2.
- The inequality 6x + 10 > 5x - 12 can be solved to show x > -22.
- The inequality -3 − 6(4x + 6) > -111 results in x < 3.
Multi-step Inequalities
- Solving 4(2a + 3) < 3(a - 1) provides understanding of operations involving variables and constants.
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Description
Test your understanding of inequalities and graphing techniques. This quiz covers concepts such as open and closed circles, solving inequalities, and interpreting various inequality expressions. Dive into the world of algebra and enhance your skills!
