For numbers 2a-2d without multiplying use the symbols form he list on the right to indicate the product will compare with the factor. Symbols can be used more than once
Accepted Solution
A:
The rules of this problem will be as follow: we have a * b = x 1) If a > 1 and b > 1 ⇒⇒⇒ x > a and x > b 2) If a > 1 and b < 1 ⇒⇒⇒ x < a and x > b 3) If a < 1 and b < 1 ⇒⇒⇒ x < a and x < b 4) If a = 1 and b > 1 ⇒⇒⇒ x > a and x = b 5) If a = 1 and b < 1 ⇒⇒⇒ x < a and x = b ================================================= 2a) (13/4) * (5/8) = x ⇒⇒⇒⇒ rule (2) ∴ x < (13/4) and x > (5/8)
2b) (4/3) * 6 = x ⇒⇒⇒ rule (1) ∴ x > (4/3) and x > 6
2c) (2/5) * (1/7) = x ⇒⇒⇒⇒ rule (3) ∴ x < (2/5) and x < (1/7)
2d) (5/8) * (7/7) = x ⇒⇒⇒ rule (5) x = (5/8) and x < (7/7)