Final answer:
The question deals with a linear inequality in mathematics, where x+2y ≥ -4 defines a region on the coordinate plane. Additionally, a z-score is mentioned to explain that y = 4 is 2 standard deviations from its mean, paralleling a statement about x = 17.
Step-by-step explanation:
The inequality x+2y ≥ -4 represents a linear inequality in two variables. This inequality defines a region on the coordinate plane. All the points (x, y) that satisfy the inequality will lie in the shaded region above or on the line x+2y = -4. To graph this inequality, you would first draw the boundary line for x+2y = -4 which is a straight line. Since this is a "greater than or equal to" inequality, you would then shade the region above this line.
Understanding the concept of z-scores is also crucial in statistics. The z-score indicates how many standard deviations an element is from the mean. For instance, if y = 4 has a z-score of 2, it means that the value of y is 2 standard deviations to the right of its mean. Similarly, if x = 17 is also two standard deviations to the right of its mean, x and y both deviate by two standard deviations from their respective means.