Answer
See Below
Work Step by Step
Consider the inequality for the variable x,
\[-3\le 2x+1<6\]
This gives two type of inequalities both for the variable x,
\[2x+1<6\] ……(1)
\[2x+1\ge -3\] ……(2)
Consider the inequality (1) for the variable x,
\[\begin{align}
& 2x+1<6 \\
& 2x<6-1 \\
& 2x<5 \\
& x<2.5
\end{align}\]
Consider the inequality (2) for the variable x,
\[\begin{align}
& 2x+1\ge -3 \\
& 2x\ge -3-1 \\
& 2x\ge -4 \\
& x\ge -2
\end{align}\]
The value of x which satisfies the inequality is,
\[-2\le x
