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This document discusses how to solve inequalities by defining the inequality symbols less than (<), greater than (>), less than or equal to (≤), and greater than or equal to (≥). It explains that when graphing inequalities with < or > you use an open dot, and with ≤ or ≥ you use a closed dot. Finally, it provides examples of solving different inequalities using the same steps as solving equations.
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This document discusses solving and graphing inequalities on a number line. It explains that solving inequalities is similar to solving other algebraic equations by manipulating the inequality signs in the same way as equal signs. When graphing the solutions, open circles should be used for "greater than" and "less than", while closed circles indicate "less than or equal to" and "greater than or equal to". An example problem walks through solving and graphing the inequality c + 7 < -11.
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What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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Section 4 5
- 1. Section 4-5
- 3. Objective: Solve inequalities.
- 4. 2. An inequality is a mathematical sentence that contains the symbols <, >, ≤, 𝒐𝒓 ≥.
- 5. 3. < means less than 4. > means greater than 5. ≤ means less than or equal to. 6. ≥ means greater than or equal to.
- 6. 7. When graphing inequalities with the < or > symbol, use an open dot.
- 7. X > -1
- 8. 8. When graphing inequalities with the ≤𝒐𝒓 ≥ , use a closed dot.
- 9. X ≥−𝟐
- 10. 9. To solve an inequality, follow the same steps you use to solve an equation.
- 11. X + 4 > 9
- 12. X + 6 ≥𝟖
- 13. S > -4
- 14. t ≥−𝟒
- 15. a ≥𝟑
- 16. g > -5
- 17. Z ≤−𝟐
- 18. Y + 5 < 14
- 19. X + 6 ≤𝟑
- 20. 2x + 8 < 24
- 21. 6w ≥−𝟑𝟔
- 22. 3y + 1 ≤𝟕