verify that x÷(x-z) ≠ x÷y - x÷z if x=-5/3, Y=2/7, Z=1/-4..
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SOLUTION:
L.H.S
x/(x - z)
-5/3 /{-5/3 - (-1/4)}
-5/3 /{-5/3 + 1/4}
-5/3 /{(-20+3)/12}
-5/3 /(-17/12)
-5/3 × (-12)/17
20/7
R.H.S
x ÷ y - x ÷ z
(-5/3 ÷ 2/7) - {-5/3 ÷ (-1/4)}
-5/3 × 7/2 - {5/3 × 4/1}
-35/6 - 20/3
L.C.M will be 6
(-35 - 40)/6
-75/6
-25/2
Therefore, L.H.S ≠ R.H.S
Hence, x÷(x-z) ≠ x÷y - x÷z
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