Answer:
Explanation:
You want to know if p=-10 is a solution to the inequality 5p -8(p +1) > 16.
Substitution
Substituting the offered value for p, we have ...
5p -8(p +1) > 16 . . . . . . . . given inequality
5(-10) -8(-10 +1) > 16 . . . . . with -10 substituted for p
-50 -8(-9) > 16 . . . . . . . . . . . simplified a bit
-50 +72 > 16 . . . . . . . . . . . . . . simplified more
22 > 16 . . . . ., . . . . . . . . True, -10 is a solution
The values that go in the blanks are -9 and 72. The simplified comparison is 22 > 16, which is True.
__
Additional comment
The inequality can be solved like this.
5p -8p -8 > 16 . . . . . eliminate parentheses
-3p -8 > 16 . . . . . . . . collect terms
-3p > 24 . . . . . . . . . . add 8
p < -8 . . . . . . . . . . . divide by -3
This clearly shows that -10 is a solution: it is true that -10 < -8.
<95141404393>