Ex 6.1, 15 - Chapter 6 Class 11 Linear Inequalities (Term 2)
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 6.1, 15 Solve the given inequality for real x: 𝑥4 < (5𝑥 − 2)3 −(7𝑥 − 3)5 𝑥4 < (5𝑥 − 2)3 −(7𝑥 − 3)5 𝑥4 < 55𝑥 − 2 −3 (7𝑥 − 3)3(5) 𝑥4 < 25𝑥 −10 − 21𝑥 + 915 𝑥4 < 25𝑥 − 21𝑥 + 9 −1015 𝑥4 < 4𝑥 − 115 15x < 4 (4x – 1) 15x < 16x – 4 15x – 16x < − 4 –x < −4 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (–x) > (– 1) × (−4) x > 4 Hence, x is a real number which is greater than 4 Hence, x ∈ (4, is the solution
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