1) What is the significance of a broken or dotted line in the graph of a linear inequality in two variables?

Question

1) What is the significance of a broken or dotted line in the graph of a linear inequality in two variables?


2) How can you tell if an ordered pair is a solution to the equation y=2x-5?

3) How can you determine if x=y2 is a function (2 means square two)

Answer 1

1) The line in not included as part of the graph - only the shaded portion.

2) Substitute the ordered pair into the equation to see if a true statement results.

3) Either graph it or substitute in a number for y. If y = 2, then x = 4. If y = -2, then x = 4. So it is not a function since the same x value has 2 different y values.

Answer 2

(a million) A broken or dotted line potential that the factors on the lines are no longer strategies to the inequality, ie, the inequality is > or < particularly than ? or ?. (2) Given an ordered pair, basically plug the pair into the equation. If the equation is genuine once you have plugged the values in, than that's a answer. yet ifyou finally end up with an untrue assertion, like a million=2, then that's no longer a answer. (3) that's comparable to #2; you may plug the ordered pair into the equation and notice no count if that's genuine.

Answer 3

1) It means strict inequality (there ">" or "<" sign is not underlined). The line (which represents equality) is not part of the solution set.

2) Plug the values of x and y into the equation ans see if the equality holds.

3) Are we talking about y being a function of x? Or x being a function of y? This needs to be spelled out. Once it is spelled out (say is y a function of x?) you need to figure out whether y has a unique value for every possible value of x. In this case y is not a function of x because negative values of x will yield no values for y, and positive values of x will each yield two values (plus and minus the square root of x). However, x is a function of y.