Question

HELP ME WITH THIS
2x-1<=5<=x+2
i have to find the interval and plot it on a number line

Answer 1

2x-1=<5 or 5=<x+2. (split them up)
2x=<6. -x=<2-5
x=<3. -x=<-3
x>=3
Thus
x=3 only

Answer 2

\(\large{ 2x-1\le 5\le x+2\implies
\begin{cases}
2x-1\le 5\\ \quad \\
5\le x+2
\end{cases}\\\quad \\
\begin{cases}
2x-1\le 5\implies x \le \cfrac{6}{2}\implies &x\le 3\\ \quad \\
5\le x+2\implies &3\le x
\end{cases}\implies x =3}\)

Answer 3

thank you guys :)