Question

Which statement is equivalent to |3x + 7| ≤ 30?
A:3x + 7 ≤ 30 or 3x + 7 ≥ -30
B:-30 ≤ 3x + 7 ≤ 30
C:3x + 7 ≤ 30
D:3x = 7 ≤ -30
I'm having huge troubles doing problems like this please help

Answer 1

here is what you need to know before you start
if you see \(|\text{something}|<p\) you will have ONE interval, an AND statement
you should be looking for \[|\text{something}|<p\] means
\[-p<\text{something}<p\]