Mathematics - International - 0607 CIE

Inequalities

Muhtasari

An inequality says that one quantity is less than, or greater than, another, rather than exactly equal. Speed limits, minimum ages, budget ceilings and safe ranges are all inequalities, and they describe the world far more often than tidy equalities do.

In this lesson you will represent inequalities on a number line, then at Extended level construct and solve linear inequalities, solve them with a graphic display calculator, and picture linear inequalities in two variables as regions on a graph. You will also learn to read off the inequalities that define a shaded region.

Malengo

  1. Represent and interpret inequalities, including on a number line.
  2. Construct, solve and interpret linear inequalities. (Extended only)
  3. Solve inequalities using a graphic display calculator. (Extended only)
  4. Represent and interpret linear inequalities in two variables graphically. (Extended only)
  5. List inequalities that define a given region. (Extended only)

Maelezo ya Somo

Real limits are rarely a single number; they are ranges. You must be at least a certain height for a ride, spend no more than a budget, keep a temperature within safe bounds. Inequalities are how mathematics captures these everyday constraints, and the same ideas underpin optimisation, the art of getting the best result within limits.

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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.

  1. Solve 3x - 4 < 11. A. x < 5 B. x > 5 C. x < 7 D. x > 7 Answer: A
  2. Solve -2x >= 6. A. x >= 3 B. x <= 3 C. x >= -3 D. x <= -3 Answer: D
  3. On a number line, which circle marks a value that is included, as in x >= 2? A. an open circle B. a filled circle C. an arrow only D. a dashed circle Answer: B
  4. When drawing the region for y < 2x + 1, the boundary line should be: A. solid B. dashed C. dotted and shaded D. omitted Answer: B
  5. Is the origin (0, 0) in the region y < 2x + 1? A. Yes B. No C. Only on the line D. Cannot tell Answer: A

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Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

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Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Fanya Mazoezi ya Maswali ya Majaribio

Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Inequalities? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

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