Line joins ordered pairs negative 4, 3, 2, negative 3. second joins negative 4, negative 3, 2, 3. a shaded above first second line. b shaded below first, above second line. c shaded below first second lines. d shaded above first line below second. which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) part d part a part b part c

Part B represents the solution set to the system of inequalities.

Step-by-step explanation:

Line joins ordered pairs (-4, 3) and (2, -3). Second joins (-4, -3) and (2, 3).

If a line passing through two points then the equation of line is

The equation of first line is

The equation of second line is

Plot the inequalities given inequalities on the coordinate plane.

The related equation of this inequality is same as the equation of first line. The sign of inequality is ≤, therefore the shaded region is below the first line.

The related equation of this inequality is same as the equation of second line. The sign of inequality is ≥, therefore the shaded region is above the second line.

Therefore part B represents the solution set to the system of inequalities.

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: