TN 11th, Maths
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TN 11th, Maths Chapter 2, Exercise 2.2
Welcome To Class : XI Subject : Maths Chapter : 2 Exercise : 2.2 Que 1 : Solve for " x " (i) |3-x| < 7 |x| < r -r < x < r |3-x|<7 -7 < (3-x) < 7 -7-3 < -x < 7-3 -10 < -x < 4 ∴ -4 < x < 10 (ii) |4x-5| ≥ -2 |x-a| ≥ r (x-a) ≥ -r |4x-5| ≥ 2 ∵ r < 0 x ∈ R (iii) |3-(3/4)x| ≤ 1/4 |3-(3/4)x| ≤ 1/4 3|1-(1/4)x| ≤ 1/4 |1-(1/4)x| ≤ 1/12 |(4-x)/4| ≤ 1/12 1/4|4-x)| ≤ 1/12 |4-x| ≤ (1/12)(4/1) |4-x| ≤ 1/3 [-(x-4)] ≤ 1/3 |x-a|≤ r -1/3 ≤ x-4 ≤ 1/3 -r ≤ x-a ≤ r (-1/3)+(4) ≤ x ≤ (1/3)+(4) 11/3 ≤ x ≤ 13/3 (iv) |x|-10 < -3 |x|<7 -r < x < r |x|-10 < -3 |x| < -3+10 |x| < 7 -7 < x < 7 Que 2 : Solve (1/|2x-1|) < 6 and express the solution using the interval notation. Solution : (1/|2x-1|) < 6...
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