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Why is my hemoglobin level is 9.6 with nornal rbc count?

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My blood count us normal but my hemoglobin is 9.6 [the min it has gone is 9.4 and max it has is 11.1] but it never enters the normal ranges and 11.1 just happened once either its 9 or 10- I eat normal both veges and meat if I go to a doc he says take iron tablets for some time its fine but then it goes back down... Can anyone help me understand also im a female [my cycle is normal] I dont understand why my blood level never goes up- I feel down,weak,tired,sometimes out of breath- I walk 5 km everyday and my weight wont come down...yes I drink a lot of water...

I drink 5-6 glasses of water not more than 7 a day