Check sibling questions

Ex 6.1, 2 Solve -12x > 30, x is natural number integer  - Solving inequality  (one side)

Ex 6.1,  2 - Chapter 6 Class 11 Linear Inequalities - Part 2
Ex 6.1,  2 - Chapter 6 Class 11 Linear Inequalities - Part 3


Transcript

Ex 6.1, 2 Solve 12x > 30, when x is a natural number 12x > 30 x > 30 12 x > 2.5 Since x is negative, we multiply both sides by -1 & change the signs ( x) (-1) < 2.5 (-1) x < 2.5 (i) Since x is a natural number, it can be only positive number starting from 1 (i.e. 1, 2, 3, 4, 5, .) There is no natural number less than 2.5. Thus, when x is a natural number, there is no solution. (ii) x is an integer Now, x < 2.5 Since x is an integer, it can be negative but cannot be a decimal So, x can be any negative number less than 3 Hence, the values of x which will satisfy the inequality are = { , 6, 5, 4, 3}

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.