Question

-4<2x-6 less than or equal to 8

Answer 1

\[-4<2x - 6 \le 8\]
add 6 to all sides
\[\implies -4 + 6 < 2x - 6 + 6 \le 8 + 6\]
combine like terms
\[\implies 2 < 2x \le 14\]
divide all sides by 2
\[\implies \frac 22 < \frac{2x}{2} \le \frac{14}{2}\]
simplify
\[\implies 1 < x \le 7\]
does that help?