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5p - 8(p + 1) > 16

5(-10) - 8(-10 + 1) > 16
-50 - 8 (___) > 16
-50 + ___ > 16

NEED HELP ASAP!!!

User Mmik
by
7.8k points

1 Answer

5 votes

Answer:

  • -9
  • 72
  • true

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>

User Modern Labs
by
9.3k points

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