Respuesta :
first at all, we need to remember that the product of two numbers never will be less than any of your factors. It gonna help us to day that if you claim that your factors are greater or equal to 5, the product will be greater that 5.
Now, we are gonna bring here the numbers of cards:
1)
[tex]3\text{ 2/5 = 3 + }\frac{2}{5}=\text{ }\frac{15}{5}+\frac{2}{5}=\frac{17}{5}=3.4\text{ }[/tex]2)
[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{8}{8}+\frac{1}{8}=\frac{9}{8}=1.125[/tex]3)
[tex]1\text{ 1/2 = 1+}\frac{1}{2}=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}=1.5[/tex]4)
[tex]1\text{ 2/5 = 1+}\frac{2}{5}=\frac{5}{5}+\frac{2}{5}=\frac{7}{5}=\text{ 1.4}[/tex]5)
[tex]\frac{11}{8}=1.375[/tex]In this case, the product of two numbers lower that 2 never give us a result greater that 5. It lefts all cards outside except the first one.
Now, we analyze the first card (with the value 3.4). We make the product with the second bigger card, 1.5 and get the result:
[tex]3.4\cdot1.5=5.1[/tex]Then we conclude that this product is bigger than 5.
Later, we analyze the product between the first one card with the third one bigger, it means 1.4
[tex]3.4\cdot1.4=4.76[/tex]
Then we can conclude that the product is lower than 5. And like all another cards are lower than 1.4 the product will be lower that 5.
Finally, the answer is that the only product that is greater than 5 is this cards:
[tex]3.4\cdot\text{ 1.5 = 5.1}[/tex]