Which shows the graph of the solution set of 3y – 2x –18?

Question

Which shows the graph of the solution set of 3y – 2x > –18?

Russ Strosin · Accepted Answer

Were are the graphs?

Russ Strosin · Answer

Step-by-step explanation:We are given with a linear equation   . We have to draw this inequality. In order to draw this inequality , we have to first draw the graph of Let us do it , by converting the equation into intercept form, and find the x and y intercepts. Divide both side, each term by -18 , we getHence our x intercept = 9 y intercept = -6Hence the line passes through the coordinates (9,0) and (0,-6). We now plot them on graph and draw our line. Now we have to check which region to shade. Our inequality is given as Let us see whether (0,0) satisfies this inequality. For that we need to substitute them in our equation. Which is true . Hence , we shade the region which is containing (0,0) . Also our line need to be broken as it is containing > sign in it.

Russ Strosin · Answer

Graph of the inequality 3y-2x>-18 is given below.Step-by-step explanation:We are given the inequality, 3y-2x>-18Now, using the 'Zero Test', which states that,After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.So, after substituting (0,0) in 3y-2x>-18, we get,  3times 0-2times 0>-18i.e. 0 > -18, which is true.Thus, the solution region is towards the origin.Hence, the graph of the inequality 3y-2x>-18 is given below.

Russ Strosin · Answer

Graph of the inequality is given below.Step-by-step explanation:We are given the inequality, Now, using the 'Zero Test', which states that,After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.So, after substituting (0,0) in , we get, i.e. 0 > -18, which is true.Thus, the solution region is towards the origin.Hence, the graph of the inequality is given below.

Russ Strosin · Answer

Option 2Step-by-step explanation:Given : Inequality To find : Which shows the graph of the solution set of given inequality?Solution : First, We find the x and y-intercepts and connect these two dots by extending infinitely from both sides.For  x-intercept put  y = 0,Point is (9,0)For  y-intercept put  x= 0,Point is (0,-6)Next, we test the inequality by choosing a random data point that does not coincide with any of the data points passed by the line. Let, we choose the origin (0,0)The inequality is true for (0,0).Thus, the shaded region must include this point.i.e, All of the region to the left bounded by the line is a solution. The data points are hollow because they are not part of the solution as the inequality is '>'. If it were ≥, then those points would be solid.Referring to above points the graph showing inequality is Option 2.Refer the attached graph below.

Russ Strosin · Answer

Refer the attached figure.Step-by-step explanation:Given : Inequality To find : The graph of the solution set of given inequality?Solution : We have given the inequality Graph the given inequality.Now, Applying the Zero test,i.e, When we substitute the point (0,0) in the inequality,If solution is toward origin it is true and If solution is away from origin it is false.Now, we substitute (0,0) in the given inequality.i.e. 0 > -18, which is true.Therefore, the solution region is towards the origin.Hence, the graph of the inequality    is given below.Refer the attached figure below.

Russ Strosin · Answer

Graph 3y-2x=-18hmm, ok, x intercept is at y=0 and x=9 so the point (9,0)y intercept is at x=0 and y=-6 so (0,-6)all the graphs hit thatok, so we have 3y-2x>-18it is > and not ≥ so it is a dotted lineit is one of the first 2ok, test points(0,0)0>-18?trueso (0,0) is in itso it is the 2nd one

Russ Strosin · Answer

When you are asked to graph an inequality, you would expect a graph with a shaded region. This is because the curve or line does not actually have those data points as the solution. It is the data points above or below the curve or line.First, you disregard the inequality to graph the equation. Find the x- and y-intercepts, plot them, and connect these two dots by extending infinitely from both sides.x-intercept: let y = 00 - 2x = -18x = 9y-intercept: let x = 03y- 0 = -18y = -6.The graph is shown in the picture. Next, you test the inequality by choosing a random data point that does not coincide with any of the data points passed by the line. Suppose, we choose the origin (0,0)3y- 2x > -183(0) - 2(0) > -180 > 18The inequality is true for (0,0), Thus, the shaded region must include this point. All of the region to the left bounded by the line is a solution. Note that the data points are hollow because they are not part of the solution because of the inequality '>'. If it were ≥, then those points would be solid.

Quinten Schmeler

Which shows the graph of the solution set of 3y – 2x > –18?

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