Question

Which number is the inequality m>7\12

Answer 1

7....................................................

Answer 2

The answer is the option A
`1`

Explanation:

The options of the question are

A. 1

B. -1

C. -9

D. -5

we have

`m>(7)/(12)`

The solution of this inequality is the interval------>
`((7)/(12), infinite)`

All real numbers greater than
`(7)/(12)`

Remember that

`(7)/(12)=0.58` ------> using a calculator

so

`m>0.58`

we know that

If a number is a solution of the inequality

then

the number must satisfy the inequality

Verify each case

case A)
`m=1`

substitute the value of m in the inequality and compare

`1>0.58` ------> is true

therefore

the number
`m=1` is a solution

case B)
`m=-1`

substitute the value of m in the inequality and compare

`-1>0.58` ------> is not true

therefore

the number
`m=-1` is not a solution

case C)
`m=-9`

substitute the value of m in the inequality and compare

`-9>0.58` ------> is not true

therefore

the number
`m=-9` is not a solution

case D)
`m=-5`

substitute the value of m in the inequality and compare

`-5>0.58` ------> is not true

therefore

the number
`m=-5` is not a solution