25 points for this question. find all the integer solutions to each system of the inequalities:

Step-by-step explanation:

12a-37 > 0  ...(1)

6a ≤ 42(2)

by (1) : a ≤ 7   but  a  is the integer number so : a =1  ; a =2 : a =3  : a=4 ; a = 5

 a = 6 and a = 7

1) cas : a = 1   by (2) : 12(1) -37 > 0   -25 > 0 false

2) cas : a = 2   by (2) : 12(2) -37 > 0   -13 > 0 false

3) cas : a = 3   by (2) : 12(3) -37 > 0   -1 > 0 false

4) cas : a = 4   by (2) : 12(4) -37 > 0   11 > 0 true

5) cas : a = 5   by (2) : 12(5) -37 > 0  23> 0 true

6) cas : a =6   by (2) : 12(6) -37 > 0   35 > 0 true

7) cas : a = 7  by (2) : 12(7) -37 > 0   47 > 0 true

all the integer solutions to each system of the inequalities: 4 ; 5; 6: 7 .

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step-by-step explanation: