we know that
A number is an inequality solution if the number satisfies the inequality
Part 1) \(10.6 < b\)
rewrite the inequality
\(b > 10.6\)
The answer Part 1) is the option D \(14\)
Because \(14\) satisfies the inequality
\(14 > 10.6\) -----> is true
Part 2) \(m > 7/12\)
The answer Part 2) is the option A \(1\)
Because \(1\) satisfies the inequality
\(1 > 7/12\) -----> is true
Part 3) \(8< x(7-x)\)
we're going to verify every case
case A) For \(x=2\)
substitute the value of x in the inequality
\(8< 2(7-2)\)
\(8< 10\) ------> is true
therefore
The number \(2\) is a solution
case B) For \(x=8\)
substitute the value of x in the inequality
\(8< 8(7-8)\)
\(8< -8\) ------> is not true
therefore
The number \(8\) is not a solution
case C) For \(x=-1\)
substitute the value of x in the inequality
\(8< -1(7-(-1))\)
\(8< -8\) ------> is not true
therefore
The number \(-1\) is not a solution
case D) For \(x=0\)
substitute the value of x in the inequality
\(8< 0(7-0)\)
\(8< 0\) ------> is not true
therefore
The number \(0\) is not a solution
therefore
The answer Part 3) is the option A \(2\)
