Question

Which number is the inequality m>7\12

Answer 1

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

Answer 2

Answer:

The answer is the option A $1$

Step-by-step explanation:

The options of the question are

A. 1  

B. -1  

C. -9  

D. -5

we have

$m>\frac{7}{12}$

The solution of this inequality is the interval------> $(\frac{7}{12}, infinite)$

All real numbers greater than $\frac{7}{12}$

Remember that

$\frac{7}{12}=0.58$ ------> 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