\"\"

\

Observe the graph:

\

Consider the end points of the triangle on the graph are \"\" and \"\".

\

Find the first inequality.

\

Points are \"\" and \"\".

\

Find the slope.

\

\"\"                    (Slope formula)

\

\"\"                 (Substitute \"\" and \"\")

\

     \"\"                      (Multiply)

\

     \"\"                            (Add)

\

\"\"                              (Simplify)

\

Find the slope intercept line equation.

\

The slope intercept line equation is \"\".

\

\"\"        (Slope intercept formula)

\

\"\"         (Substitute \"\" and \"\")

\

\"\"                         (Multiply)

\

\"\"             (Subtract \"\" from each side)

\

\"\"                         (Apply additive inverse property: \"\")

\

Write a system of inequality.

\

The points are \"\" and \"\" and line equation is \"\".

\

The shaded region is above the line equation and it represent the solid line.

\

Hence, the inequality is \"\".

\

\"\"

\

Find the second inequality.

\

Points are \"\" and \"\".

\

Find the slope.

\

\"\"                    (Slope formula)

\

\"\"                   (Substitute \"\" and \"\")

\

     \"\"                         (Add)

\

\"\"                         (Simplify)

\

Find the slope intercept line equation.

\

The slope intercept line equation is \"\".

\

\"\"         (Slope intercept formula)

\

\"\"         (Substitute \"\" and \"\")

\

\"\"             (Multiply)

\

\"\" (Add \"\" to each side)

\

\"\"                   (Apply additive inverse property: \"\")

\

Write a system of inequality.

\

The points are \"\" and \"\" and line equation is \"\".

\

The shaded region is below the line equation and it represent the solid line.

\

Hence, the inequality is \"\".

\

\"\"

\

Find the third inequality.

\

Points are \"\" and \"\".

\

Find the slope.

\

\"\"                    (Slope formula)

\

\"\"                 (Substitute \"\" and \"\")

\

     \"\"                      (Multiply)

\

     \"\"                         (Add)

\

\"\"                           (Simplify)

\

Find the slope intercept line equation.

\

The standard form of slope intercept line equation is \"\".

\

\"\"         (Slope intercept formula)

\

\"\"      (Substitute \"\" and \"\")

\

\"\"                      (Multiply)

\

\"\"          (Subtract \"\" from each side)

\

\"\"                      (Apply additive inverse property: \"\")

\

Write a system of inequality.

\

The points are \"\" and \"\" and line equation is \"\".

\

The shaded region is above the line equation and it represent the solid line.

\

Hence, the inequality is \"\".

\

\"\"

\

The inequalities are \"\", \"\" and \"\".