Inequalities
Muhtasari
An inequality is like an equation, but instead of saying two things are equal it says one is greater or less than the other. That single change lets you describe ranges of values: speeds up to a limit, ages of at least a certain number, regions on a graph.
In this lesson you will represent and interpret inequalities, including on a number line, and (at Extended) construct and solve linear inequalities and represent them on a graph as regions.
Malengo
- Represent and interpret inequalities, including on a number line.
- Construct, solve and interpret linear inequalities. (Extended only)
- Represent and interpret linear inequalities in two variables graphically. (Extended only)
- List inequalities that define a given region. (Extended only)
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Inequalities. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- Solve 3x - 4 ⩽ 11. A. x ⩽ 3 B. x ⩽ 5 C. x ⩾ 5 D. x ⩽ 7 Answer: B
- Solve -2x < 6. A. x < -3 B. x > -3 C. x < 3 D. x > 3 Answer: B
- On a number line, x > 2 is shown by: A. a filled circle at 2, arrow right B. an open circle at 2, arrow right C. an open circle at 2, arrow left D. a filled circle at 2, arrow left Answer: B
- Which inequality means 'x is at least 5'? A. x > 5 B. x < 5 C. x ⩾ 5 D. x ⩽ 5 Answer: C
- Solve x + 3 > 10. A. x > 7 B. x > 13 C. x < 7 D. x > 3 Answer: A
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Solve Linear Inequalities
Graph inequalities on the number line
"Elementary Algebra: Solve Linear Inequalities" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/2-7-solve-linear-inequalities. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Sehemu ya kitabu
Graphs of Linear Inequalities
Verify solutions to an inequality in two variables
"Elementary Algebra: Graphs of Linear Inequalities" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/4-7-graphs-of-linear-inequalities. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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