I am doing a practice sheet for a upcoming test need to get explanation and help

the inequality is:
[tex]4x+5\le13[/tex]Now we can rest 5 in bout sides so:
[tex]\begin{gathered} 4x\le13-5 \\ 4x\le8 \end{gathered}[/tex]Now we divide by 4 so:
[tex]\begin{gathered} x\le\frac{8}{4} \\ x\le2 \end{gathered}[/tex]English solution: all real numbers that are less or equal to 2
Algebraic solution:
[tex]x\le2[/tex]Number line solution:
Interval notation:
[tex](-\infty,2\rbrack[/tex]Builder notation:
[tex]\mleft\lbrace x\parallel x\le2\mright\rbrace[/tex]