1.) m - 7 < 6
m < =1
m > 1
m < 13
m -13
2.) p + 12 > 9
p>21
p>3
p>-21
p>-3
3.) translate the following statement into an inequality. five less than a number is at least nine.
1. m-7 < 6
m < 6+7
m < 13
2. p + 12 > 9
p > 9-12
p > -3
3. x - 5 => 9
1.) To solve the inequality m - 7 < 6, we need to isolate the variable m.
First, we add 7 to both sides of the inequality: (m - 7) + 7 < 6 + 7
Simplifying, we have m < 13.
So the answer is: m < 13.
2.) To solve the inequality p + 12 > 9, we also need to isolate the variable p.
First, we subtract 12 from both sides of the inequality: (p + 12) - 12 > 9 - 12
Simplifying, we have p > -3.
So the answer is: p > -3.
3.) To translate the given statement "five less than a number is at least nine" into an inequality, we can recognize that "less than" corresponds to the symbol "<" and "at least" corresponds to the symbol "≥" (greater than or equal to).
Let x represent the number.
The inequality can be written as: x - 5 ≥ 9.