Answer
$0\leq x \leq 2$
Work Step by Step
Let us consider the both inequalities.
$4x+5 \geq 5$
This can also be written as: $4x\geq 5-5$
or, $x \geq 0$
Now, $3x-4 \leq 2$
This can also be written as: $3x\leq 2+4$
or, $x \leq 2$
Therefore, our result is: $0\leq x \leq 2$
