Question

Please solve the following absolute value inequalitys.
1.) |4m+2|>14
2.) |4m-2|<14
(Take note: The ">, & <" have the _ (line) underneath the symbol.)

Answer 1

\[|4x+2|\geq 14\]
\[4x+2\geq -14\] or
\[4x+2\geq 14\] solve separately
\[4x+2\leq -14\]
\[4x\leq -16\]
\[x\leq -4\] or
\[4x+2\geq 14\]
\[4x\geq 12\]
\[x\geq 3\]

Answer 2

answer is \(x\leq -4\) or \(x\geq 3\)

Answer 3

\[|4m-2|\leq14\]
\[-14\leq 4m-2\leq 14\]
\[-12\leq 4m\leq 16\]
\[-3\leq m\leq 4\]