Let's assume the number be 'x'.
Four more than three times a number would be written as '3x+4'.
'3x+4' is less than or equal to twenty two. Mathematically, we can write it as :-
3x + 4 ≤ 22
Solving the above inequality :-
Step 1: subtracting 4 on both sides
3x + 4 - 4 ≤ 22 - 4
3x ≤ 18
Step 2: Dividing by 3 on both sides
[tex] \frac{3x}{3} \leq \frac{18}{3} \\\\
x\leq 6 [/tex]
Hence, x ≤ 6 is the solution to the inequality 3x + 4 ≤ 22.