On the inequality system of X: 2x + 5 / 3 ＞ X-5, x + 3 / 2 ＜ x + A has only five positive integer solutions, then the value range of a The answer is - 6 < a ≤ - 11 / 2,

On the inequality system of X: 2x + 5 / 3 ＞ X-5, x + 3 / 2 ＜ x + A has only five positive integer solutions, then the value range of a The answer is - 6 < a ≤ - 11 / 2,

(2x+5)/3＞x-5
x2-2a
So 2-2a

On the inequality 3-2x of X, if the sum of all positive integers of a is 6, then the value range of A
In fact, I found the answer 3-2x > A on the Internet
-2x>a-3
2x

3-2x＞a
On the inequality of X, the sum of all positive integers of 3-2x ＞ A is 6
x=1,2,3
X ≤ 3 and XX
So 3

If the sum of all positive integer solutions of inequality 3-2x of X is 6, then what is the value range of a
Seeking ideas

3-2x ＞ a-2x ＞ a-3x ＜ (3-A) / 2 because the sum of all positive integer solutions is 6, so its positive integer solution is 1,2,3 ∧ (3-A) / 2 is between 3 and 4. When (3-A) / 2 = 3, X ＜ 3, its positive integer solution is 2,1, which does not conform to the meaning of the problem, and does not take the equal sign. When (3-A) / 2 = 4, X ＜ 4, its positive integer solution is 3,2,1, which conforms to the meaning of the problem, and takes

If the positive integer solution of inequality - 2x-x + 6 > 0 about X is 1.2.3, find the value of positive integer k (detailed process)
-2k-x+6＞0，

-2x²-x+6＞0;
2x²+x-6＜0;
(2x-3)(x+2)＜0；
∴-2＜x＜3/2;
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