Question

Could someone help me do this,

Solve: (express the answer using interval notation.)
l4x-7l (greater then or equal to) 5

Answer 1

\[|4x-7| \ge 5 \]
could someone help please?

Answer 2

the trick with absolute values is to analyse them as two different equations
1) \[4x-7\le5\]
\[4x \le12\]
\[x \le 3\]
2)
\[4x-7\ge-5\]
\[4x\ge2\]
\[x\ge0.5\]
therefore
x has to be between 0.5 and 3
therefore
\[0.5 \le x \le 3\]

Answer 3

Ohh, thanks a lot for your help, I appreciate it.