Your mother bought several full packets of eggs. She opened all the packs and kept all the eggs in the fridge. You later counted all the eggs and found there are 46 eggs. One single packet looks as shown below. Do you think shopkeeper cheated your mother? Justify.

Even when the answer is not complete, most likely yes, she was cheated.

Step-by-step explanation:

The question does not include how a packet looks, however since the total egg count is 46 units, this number is only divisible by 2 and 23.

So unless each egg packet contains 2 or 23 eggs, any other size would mean a packet had less eggs than expected.

Usually eggs come in packs of 6 or 12 units, so to sum 46 eggs or more you would need:

If 6 eggs per packet:

46/6 = 7,66 packets -> she must have bought 8 packets and should have 48 eggs, meaning there are 2 eggs missing.

If 12 eggs per packet:

46/12 = 3,83 packets -> she must have bought 4 packets and should have 48 eggs, meaning there are 2 eggs missing.

That's why it is safe to assume some packets had less eggs than expected.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.