Question

Solve for x.
Write your answer in interval notation.

Answer 1

Solve for x in these two equations separately,

\[-3\le 6x-9 \]
\[6x-9<39\]

The combined result will give you the answer in a similar form to the question. You can then write it as an interval notation

Answer 2

Hey, did you solve for the two equations I showed you above?

Answer 3

\[-3 \leq 6x-9<39\]
add 9 to each inequality
\[-3+9 \leq 6x-9+9<39+9\]
\[6 \leq6x<48\]
divide each by 6
\[\frac{ 6 }{ 6 } \leq \frac{ 6x }{ 6 }<\frac{ 48 }{ 6 }\]
\[1 \leq x<8\]