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4. Verify the property Xx (y + Z ) = Xx Y + Xx Z by taking-(1) X=-3/7,Y=2/5,Z=-4/9 |
| Answer» 1. Verify the property: x × y = y × x by taking:(i) x = -1/3, y = 2/7Solution:By USING the propertyx × y = y × x-1/3 × 2/7 = 2/7 × -1/3(-1×2)/(3×7) = (2×-1)/(7×3)-2/21 = -2/21Hence, the property is SATISFIED.(ii) x = -3/5, y = -11/13Solution:By using the propertyx × y = y × x-3/5 × -11/13 = -11/13 × -3/5(-3×-11)/(5×13) = (-11×-3)/(13×5)33/65 = 33/65Hence, the property is satisfied.(iii) x = 2, y = 7/-8Solution:By using the propertyx × y = y × X2 × 7/-8 = 7/-8 × 2(2×7)/-8 = (7×2)/-814/-8 = 14/-8-14/8 = -14/8Hence, the property is satisfied.(IV) x = 0, y = -15/8Solution:By using the propertyx × y = y × x0 × -15/8 = -15/8 × 00 = 0Hence, the property is satisfied. | |