Answer:
The answer is the option A [tex]1[/tex]
Step-by-step explanation:
The options of the question are
A. 1
B. -1
C. -9
D. -5
we have
[tex]m>\frac{7}{12}[/tex]
The solution of this inequality is the interval------> [tex](\frac{7}{12}, infinite)[/tex]
All real numbers greater than [tex]\frac{7}{12}[/tex]
Remember that
[tex]\frac{7}{12}=0.58[/tex] ------> using a calculator
so
[tex]m>0.58[/tex]
we know that
If a number is a solution of the inequality
then
the number must satisfy the inequality
Verify each case
case A) [tex]m=1[/tex]
substitute the value of m in the inequality and compare
[tex]1>0.58[/tex] ------> is true
therefore
the number [tex]m=1[/tex] is a solution
case B) [tex]m=-1[/tex]
substitute the value of m in the inequality and compare
[tex]-1>0.58[/tex] ------> is not true
therefore
the number [tex]m=-1[/tex] is not a solution
case C) [tex]m=-9[/tex]
substitute the value of m in the inequality and compare
[tex]-9>0.58[/tex] ------> is not true
therefore
the number [tex]m=-9[/tex] is not a solution
case D) [tex]m=-5[/tex]
substitute the value of m in the inequality and compare
[tex]-5>0.58[/tex] ------> is not true
therefore
the number [tex]m=-5[/tex] is not a solution
