We have the inequality 5p-8(p+1) > 16.
To solve, we can distribute the -8 to both terms inside the parentheses:
5p - 8p - 8 > 16.
Combining like terms, we have -3p - 8 > 16.
To isolate the variable, we can add 8 to both sides:
-3p - 8 + 8 > 16 + 8.
This simplifies to -3p > 24.
Finally, to solve for p, we divide both sides by -3, remembering to flip the inequality sign since we are dividing by a negative number:
p < 24/-3.
This simplifies to p < -8.
Therefore, the solution to the inequality is p < -8.
5p−8(p+1)>16
5 (−10)−8(−10+1)>16
−50−8
(
) >16
−50+
>16
>16
1 answer