Answer:
A) \((-3,-2)\)
C) \((-1,-2)\)
E) \((1,-2)\)
F) \((1,2)\)
Step-by-step explanation:
we have
\(y<0.5x+2\)
The options are the points
\((-3,-2)\),\((-2,1)\),\((-1,-2)\),\((-1,2)\),\((1,-2)\),\((1,2)\)
we know that
If a ordered pair is a solution of the inequality
then
the ordered pair must be satisfy the inequality
Verify
Point A) \((-3,-2)\)
Substitute the value of x and value of y in the inequality an compare
\(-2<0.5(-3)+2\)
\(-2<0.5\) -------> is true
The ordered pair \((-3,-2)\) is a solution of the inequality
Point B) \((-2,1)\)
Substitute the value of x and value of y in the inequality an compare
\(1<0.5(-2)+2\)
\(1<1\) -------> is not true
The ordered pair \((-2,1)\) is not a solution of the inequality
Point C) \((-1,-2)\)
Substitute the value of x and value of y in the inequality an compare
\(-2<0.5(-1)+2\)
\(-2<1.5\) -------> is true
The ordered pair \((-1,-2)\) is a solution of the inequality
Point D) \((-1,2)\)
Substitute the value of x and value of y in the inequality an compare
\(2<0.5(-1)+2\)
\(2<1.5\) -------> is not true
The ordered pair \((-1,2)\) is not a solution of the inequality
Point E) \((1,-2)\)
Substitute the value of x and value of y in the inequality an compare
\(-2<0.5(1)+2\)
\(-2<2.5\) -------> is true
The ordered pair \((1,-2)\) is a solution of the inequality
Point F) \((1,2)\)
Substitute the value of x and value of y in the inequality an compare
\(2<0.5(1)+2\)
\(2<2.5\) -------> is true
The ordered pair \((1,2)\) is a solution of the inequality
