3y < = -2x+18 -4y< =-x+12 which of the following points are in the solution set select all that apply a (-4,-3) b (1,6) c (2,4) d (5,-5) e (3,2)

Step-by-step explanation:

It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.

_____

Of course, you can do the function evaluations. For example, testing answer B, we find ...

... 3·6 ≤ -2·1 +18 . . . . false for the first equation — not a solution

Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.

_____

Using a calculator

The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...

This makes it easy to look at the evaluation results to see if the solution is viable or not.

The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is not part of the solution set. Points B and D fail to match problem requirements.

Points A, C, and E are in the solution set.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic