Answer:
The solution for the inequality is [tex]x \leq 6[/tex].
Step-by-step explanation:
Consider the provided inequality.
[tex]2x - 1 \leq x + 5[/tex]
Subtract x from both the sides.
[tex]2x -x- 1 \leq x-x + 5[/tex]
[tex]x- 1 \leq 5[/tex]
Add 1 to both the sides.
[tex]x- 1+1 \leq 5+1[/tex]
[tex]x \leq 6[/tex]
Hence the solution for the inequality is [tex]x \leq 6[/tex].