Question
Solve the inequality
−811≤p≤811
Alternative Form
p∈[−811,811]
Evaluate
6∣−6p×9∣×4≤16
Simplify
More Steps

Evaluate
6∣−6p×9∣×4
Multiply the terms
6∣−54p∣×4
Calculate the absolute value
More Steps

Calculate
∣−54p∣
Rewrite the expression
∣54p∣
Rewrite the expression
54∣p∣
6×54∣p∣×4
Multiply the terms
More Steps

Evaluate
6×54×4
Multiply the terms
324×4
Multiply the numbers
1296
1296∣p∣
1296∣p∣≤16
Divide both sides
12961296∣p∣≤129616
Divide the numbers
∣p∣≤129616
Cancel out the common factor 16
∣p∣≤811
Separate the inequality into 2 possible cases
{p≤811p≥−811
Solution
−811≤p≤811
Alternative Form
p∈[−811,811]
Show Solution
