Answer
a ) Yes b) No
Work Step by Step
a) As we are given that $|2x+3| \geq 5$
For $x=-5$
or, $|2(-5)+3| \geq 5$
or, $|-7| \geq 5$
or, $7 \geq 5$
which is true.
b) As we are given that $|2x+3| \geq 5$
For $x=0$
or, $|2(0)+3| \geq 5$
or, $|3| \geq 5$
or, $3 \not\geq 5$
which is not true.