CBSE Class 11 Mathematics Linear Inequalities Assignment Set 01

Q10. Solve the following system of linear inequalities: - 3x+2y≥24, 3x+y≤15, x≥4,

Ans. No solution.

Q11. Show that the solution set of the following system of linear inequalities is an unbounded region: - 2x+y≥8, x+2y≥10, x, y≥0,

Q12. In drilling world’s deepest hole it was found that the temperature T in degree Celsius, x km below the earth’s surface was given by T =30 +25(x-3), 3≤x≤15, at what depth will the temperature be between 155⁰C and 2550C?

Ans. between 8 km and 12 km

Q13. Give an example of (I) statement (II) Simple Statement (III) Compound Statement,

Q14. Form the conjunction of the following simple statements: - p; Ram is a boy, q: Sita is a girl,

Ans. p v q

Q15. Form the disjunction of the following simple statements: - p; the sun shines, q: It rains,

Ans. p v q,

Q16. Write the negation of the statement: - p: New Delhi is a city,

Ans. ~ p

Q17. Calculate the Mean deviation about Median for the following data:- 

Class interval 0-6 6-12 12-18 18-24 24-30 

Frequency 4 5 3 6 2

Ans. Med=14, M.D=7.

Q18. Find the Mean, Variance and S.D. for the following frequency distribution

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