\ \
\Observe the graph : \ \
\ is a solid line. \ \
To determine which symbol to be used to write the linear inequality, take a test point in either half- plane. \ \
\A simple choice is . \ \
Substitute in
. \ \
\ \
Since the line is solid line, take the inequality symbol as . \ \
Thus, the linear inequality is . \ \
\ \
\Find the solid line passing through the points and
. \ \
Let the points be and
. \ \
Line equation passing through two points is . \ \
Substitute the points and
in above equation. \ \
\ \
. \ \
To determine which symbol to be used to write the linear inequality, take a test point in either half- plane. \ \
\A simple choice is . \ \
Substitute and
in the line equation
. \ \
\ \
Since the line is solid line, take the inequality symbol as . \ \
Thus, the linear inequality is . \ \
\ \
\Observe the graph: \ \
\Consider all values of , whose values are greater than or equals to zero. \ \
Thus, the linear inequality is . \ \
\ \
\Observe the graph : \ \
\Consider all values of , whose values are greater than or equals to zero. \ \
Thus, the linear inequality is . \ \
\ \
\The system of linear inequalities is \ \
\ \
\The system of linear inequalities is