If a and b are integers and 71 < ab < 76, then all of the following could be the values of b except: (a) 18 (b) 8 (c) 12 (d) 7 (e) 5

We are given that

a and b are integers and 71 < ab < 76

We will check each options

option-A:

b=18

we can plug it

we can divide both sides by 18

now, we can simplify it

Since, 'a' is a integer

so, a=4 lies on interval

so, this interval is true

so, this is FALSE

option-B:

b=8

we can plug it

we can divide both sides by 8

now, we can simplify it

Since, 'a' is a integer

so, a=9 lies on interval

so, this interval is true

so, this is FALSE

option-C:

b=12

we can plug it

we can divide both sides by 12

now, we can simplify it

Since, 'a' is a integer

so, a=6 lies on interval

so, this interval is true

so, this is FALSE

option-D:

b=7

we can plug it

we can divide both sides by 7

now, we can simplify it

Since, 'a' is a integer

so, no integer lies on this interval

so, this interval is false

so, this is TRUE

option-E:

b=5

we can plug it

we can divide both sides by 5

now, we can simplify it

Since, 'a' is a integer

so, a=15

so, this interval is true

so, this is FALSE

answer:      

step-by-step explanation:

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