Question

a system of linear inequalities is shown.
inequality 1: ( x geq 5 )
inequality 2: ( y > -2x + 3 )
which statement is true for the point ( (0, 3) )?
the point ( (0, 3) ) is a solution for inequality 2 but not for inequality 1.
the point ( (0, 3) ) is not a solution for this system of linear inequalities.
the point ( (0, 3) ) is the only solution for this system of linear inequalities.
the point ( (0, 3) ) is one of many solutions for this system of linear inequalities.

Explanation:

Step1: Check Inequality 1

Substitute \(x = 0\) into Inequality 1: \(x\geq5\). So \(0\geq5\) is false.

Step2: Check Inequality 2

Substitute \(x = 0\), \(y = 3\) into Inequality 2: \(y>-2x + 3\). Then \(3>-2(0)+3\) simplifies to \(3>3\), which is false.
Since the point \((0, 3)\) does not satisfy either inequality, it is not a solution for the system.

Answer:

b. The point (0, 3) is not a solution for this system of linear inequalities.