Question

Solve and graph the absolute value inequality: |2x + 1| ≤ 5.
Please help? Medal will be given to best answer<3

Answer 1

|2x + 1| < or equal to 5 ,
we use here |a| < or equal to b then -b < or equal to a< or equal to b
so we can write |2x + 1| < or equal to 5
-5 < or equal to 2x +1 < or equal to 5 ,
then we subtract 1 from each inequality
-5 -1 < or equal to 2x < or equal to 5 -1
so we get
-6 < or equal to 2x < or equal to 4 ,
to get rid of x we have to divide by 2 to each inequality
-6/2 < or equal to x < or equal to < 4/2
so the final answer is
-3 < or equal to x < or equal to 2

Answer 2

So when I'm graphing it, it'll be two open circles right?

Answer 3

correct ! it like. -------(--------------------------)--
-3 2