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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy
1 of 1
Application +4 | -1
Solve for xx
(i) ∣x+1∣=4x+3|x+1|=4 x+3
(ii) ∣x+1∣=∣x+3∣|x+1|=|x+3|
(iii) 7∣x−2∣−∣x−7∣=57|x-2|-|x-7|=5
(iv) ∣∣x−1∣−2∣=6x+8||x-1|-2|=6 x+8
(v) ∣2x2−3x+1∣=∣x2+x−3∣\left|2 x^2-3 x+1\right|=\left|x^2+x-3\right|
View answer and explanation
Correct option: A
(i) −23-\frac{2}{3}, (ii) −2-2, (iii) 13,134\frac{1}{3}, \frac{13}{4}, (iv) −97-\frac{9}{7}, (v) 2,1±732, \frac{1 \pm \sqrt{7}}{3}
Option A is correct. It provides the solutions for x obtained by solving the given absolute value equations through considering different cases and checking for validity.

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