Hello
To solve this question, we would write it out in steps
Step 1
[tex]\begin{gathered} 4x-10\le14 \\ \end{gathered}[/tex]Step 2
Add 10 to both sides
[tex]\begin{gathered} 4x-10+10\le14+10 \\ 4x\le24 \end{gathered}[/tex]Step 3
Simplify and divde both sides by the coefficient of x
[tex]\begin{gathered} \frac{4x}{4}\le\frac{24}{4} \\ x\le6 \end{gathered}[/tex]The interval notation is given as
[tex](-\infty,6)[/tex]From the calculations above, the answer to the question is given above