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Andhra Pradesh SSC (Class 10) Algebra: Equations, Inequations & Matrices — practice questions — page 2

Explore 40 free Algebra: Equations, Inequations & Matrices questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Equations, Inequations & Matrices questions and exercises with answers

Showing questions 31–40 of 40.

The solution of 5 - 2 x > 1 isRead the answer and worked solution →Solve 5 (x - 2) >= 15, then x belongs toRead the answer and worked solution →The largest integer x satisfying 3 x - 4 < 2 x + 5 isRead the answer and worked solution →Solve (x + 2)/3 - (x - 1)/2 <= 1. Then x belongs toRead the answer and worked solution →Solve 2 x + 5 > 11, then x belongs toRead the answer and worked solution →Solve -2 (x - 3) <= 4. Then x belongs toRead the answer and worked solution →Solve (2 x - 5) / 3 >= 1 over integers.Read the answer and worked solution →Solve x + 3 > 5, then x belongs toRead the answer and worked solution →A linear inequation in one variable can be written asRead the answer and worked solution →The smallest natural number that satisfies x > 4 isRead the answer and worked solution →

Worked practice questions

The solution of 5 - 2 x > 1 is

  1. x >= 2 only
  2. x > 2 only
  3. x = 2 only
  4. x < 2
Show answer and solution

Correct answer: D. x < 2

1. Subtract 5: -2 x > -4. 2. Divide by -2 (flip the sign): x < 2. 3. So the solution is x < 2. 4. Hence option A is correct. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on negative coefficient_

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Solve 5 (x - 2) >= 15, then x belongs to

  1. {x : x <= 3} only
  2. {x : x <= 5} only
  3. {x : x >= 3} only
  4. {x : x >= 5}
Show answer and solution

Correct answer: D. {x : x >= 5}

1. Divide both sides by 5: x - 2 >= 3. 2. Add 2: x >= 5. 3. Sign does not flip. 4. So x >= 5. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on bracket solving_

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The largest integer x satisfying 3 x - 4 < 2 x + 5 is

  1. 8
  2. 9 only
  3. 10 only
  4. 7 only
Show answer and solution

Correct answer: A. 8

1. Move x terms: 3 x - 2 x < 5 + 4. 2. Simplify: x < 9. 3. Largest integer below 9 is 8. 4. So x = 8 is the largest integer. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on integer answers_

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More Mathematics topics

Mensuration: Surface Areas & VolumesReal Numbers and PolynomialsStatistics and ProbabilityArithmetic ProgressionQuadratic EquationsIntroduction to TrigonometryAlgebra: Simultaneous Linear Equations & QuadraticsTriangles and Circles