Mathematics (US) - 0444 CIE

Inequalities On The Real Number Line

Muhtasari

An equation pins a value down exactly; an inequality describes a whole range of allowed values instead. From speed limits to budgets, much of the real world is governed by 'at least' and 'no more than' rather than exact equality, and inequalities are the mathematics of those limits.

In this lesson you will represent and interpret inequalities on the real number line, and solve linear inequalities. You will see that solving an inequality is almost the same as solving an equation, with one crucial twist when you multiply or divide by a negative number.

Malengo

  1. Represent and interpret inequalities on the real number line, and (Extended) solve linear inequalities.

Maelezo ya Somo

Many real conditions are ranges, not single values: a wage must be at least a minimum, a load must not exceed a limit, a temperature must stay within a band. Inequalities express these limits precisely, and the number line gives an instant picture of all the values that satisfy them.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Inequalities On The Real Number Line. 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 < 19. A. x < 5 B. x > 5 C. x < 7 D. x > 7 Answer: A
  2. Solve -2x >= 8. A. x >= -4 B. x <= -4 C. x >= 4 D. x <= 4 Answer: B
  3. On a number line, x > 3 is shown with: A. A filled circle at 3, arrow left B. An open circle at 3, arrow right C. A filled circle at 3, arrow right D. An open circle at 3, arrow left Answer: B
  4. When do you reverse the inequality sign? A. When adding a negative B. When dividing by a positive C. When multiplying or dividing by a negative D. Never Answer: C
  5. Solve 2x - 1 <= 5. A. x <= 2 B. x <= 3 C. x >= 3 D. x < 3 Answer: B

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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.

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Soma bila mtandao, wakati wowote, mahali popote
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