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.
suh dude
no, p > -3
adding or subtracting does not change the direction of the inequality. (Also, p < -3 was not one of the choices.)
Steve, looks like you should have had that early morning coffee.
from
p + 12 > 9
p+12 - 12 > 9 - 12
p > -3
Ahh. The first Steve who answered was not the same as the second one. I may have to change my moniker if this gets too confusing...
m - 7 < 6
m -7 + 7 < 6 + 7
m < 13
p + 12 > 9
p + 12 - 12 < 9 -12
p < -3
To solve inequalities, we need to isolate the variable (m or p) on one side of the inequality symbol.
1.) m - 7 < 6
To isolate the variable m, we add 7 to both sides of the inequality:
m - 7 + 7 < 6 + 7
m < 13
So, the answer is m < 13.
2.) p + 12 > 9
To isolate the variable p, we subtract 12 from both sides of the inequality:
p + 12 - 12 > 9 - 12
p > -3
So, the answer is p > -3.
3.) To translate "five less than a number is at least nine" into an inequality, we can consider "a number" as the variable x.
If we take "a number" and subtract 5 from it, the result should be at least 9.
Mathematically, we can represent this statement as:
x - 5 ≥ 9
So, the inequality is x - 5 ≥ 9.