Question

Find the solution set of this inequality.Enter your answer in interval notation using grouping symbols.
|-2x+1|<=5

Answer 1

first convince yourself that |-2x+1|=|2x-1| this will make life easier. then write
\[|2x-1|\leq 5\]
\[-5\leq 2x-1\leq 5\]
\[-4\leq 2x\leq6\]
\[-2\leq x\leq 3\]

Answer 2

you will get the same answer just starting with
\[-5\leq -2x+1\leq 5\] but it will be more annoying because of the -2 in front of the x. try it and see what happens

Answer 3

good morning senesei. how is the toyota?

Answer 4

i understand it now thanks