Question

Determine whether each ordered pair is a solution of the inequality (look at the picture).

Options:
A. (1, -2)
B. (6, 0)
C. (2, -1)
D. (-1, -1)

Answer 1

Without the inequality provided, it's unclear which ordered pairs are solutions. Generally, to determine if an ordered pair is a solution to a linear inequality, you substitute the x and y values into the inequality. Linear equations take the form y = mx + b, and this form is used to test each ordered pair.

Step-by-step explanation:

The question asks to determine which of the given ordered pairs is a solution to the inequality, but the inequality itself is not provided. Therefore, let's focus on the information that is provided related to linear equations and consider how we would approach the problem if we had the inequality. An inequality involving linear equations can be checked by substituting the x and y values from the ordered pair into the inequality. If the inequality holds true after substitution, then the ordered pair is a solution to the inequality.

For example, if we had an inequality like y > 2x + 1, and we wanted to check if the ordered pair (1, -2) is a solution, we would substitute x = 1 and y = -2 into the inequality to see if -2 > 2(1) + 1, which simplifies to -2 > 3. Since this is not true, (1, -2) would not be a solution to the inequality.

Remember that all linear equations have the form y = mx + b where 'm' is the slope of the line and 'b' is the y-intercept. For each ordered pair, substitute the 'x' value into the equation and solve for 'y'. If your result matches the 'y' value of the ordered pair, then that ordered pair satisfies the equation.

Answer 2

Without the inequality provided, it's impossible to determine if the pairs are solutions. For the reference to linear equations, options A, B, and C are indeed linear because they can be represented as y = mx + b.

Step-by-step explanation:

To determine whether each ordered pair is a solution of the given inequality, we would typically substitute the x and y values from the ordered pair into the inequality and check to see if the inequality holds true. However, the inequality itself is not provided in your question, so I'm unable to test the ordered pairs (1, -2), (6, 0), (2, -1), and (-1, -1) directly.

If you can provide the inequality, I'd be happy to help you work through the problem.

As for your reference to Practice Test 4's question about linear equations, the answer is that all options A, B, and C are linear equations because they can be written in the form y = mx + b, where m and b are constants. This makes them straight lines with their respective slopes and y-intercepts.

Remember, a linear equation will always graph as a straight line, whether it has a positive slope, negative slope, or is a horizontal line (which occurs when the slope is zero).