Question

for each ordered pair, determine whether it is a solution to ( x = -2 ).

((x, y))	is it a solution?
((5, 8))	( circ )	( circ )
((-2, 9))	( circ )	( circ )
((-7, -4))	( circ )	( circ )
((0, -2))	( circ )	( circ )

Explanation:

Step1: Analyze the equation \( x = -2 \)

The equation \( x = -2 \) represents a vertical line where the \( x \)-coordinate of every point on the line is \( -2 \), and the \( y \)-coordinate can be any real number. So, an ordered pair \( (x, y) \) is a solution to \( x = -2 \) if and only if \( x = -2 \).

Step2: Check \( (5, 8) \)

For the ordered pair \( (5, 8) \), the \( x \)-coordinate is \( 5 \), which is not equal to \( -2 \). So, it is not a solution.

Step3: Check \( (-2, 9) \)

For the ordered pair \( (-2, 9) \), the \( x \)-coordinate is \( -2 \), which matches the equation \( x = -2 \). So, it is a solution.

Step4: Check \( (-7, -4) \)

For the ordered pair \( (-7, -4) \), the \( x \)-coordinate is \( -7 \), which is not equal to \( -2 \). So, it is not a solution.

Step5: Check \( (0, -2) \)

For the ordered pair \( (0, -2) \), the \( x \)-coordinate is \( 0 \), which is not equal to \( -2 \). So, it is not a solution.

Answer:

\((x, y)\)	Is it a solution?
\((-2, 9)\)	Yes
\((-7, -4)\)	No
\((0, -2)\)	No