Mathematics 9 (Complete Solutions)
Q1
Identify the property used in the following
| (i) a + b = b + a | (ii) (ab)c - a(bc) | |||
| (iii) 7 x 1 = 7 | (iv) x > y or x = y or x < y | |||
| (v) ab = ba | (vi) a + c = b + c ⇒ a = b | |||
| (vii) 5 + (-5) = 0 | (viii) 7 x
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| (ix) a > b ⇒ ac > bc ( c > 0 ) |
Solution:
| (i) | Commutative w.r.t addition. |
| (ii) | Associative w.r.t. multiplication. |
| (iii) | Multiplicative Identity |
| (iv) | Trichotomy |
| (v) | Commulative w.r.t multiplication |
| (vi) | Cancellation property of addition. |
| (vii) | Additive inverse |
| (viii) | Multiplicative Inverse |
| (xi) | Multiplicative Property |