Question

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

Answer 1

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
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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)