Answer:
The answer is the option A \(1\)
Step-by-step explanation:
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
