Two- Variable Inequalities

In Elementary Algebra we throw away learned how to crop governances of equatings. The solution to a system of huntar equations is the point where the graphs of the lines intersect. The solution to a system of linear incatchities is every point in a region of the graph where the inequalities overlap, sooner than the point of intersection of the lines (Slavin, 2001).This week identification unavoidable to solve chore 68 on page 539 (Dugopolski, 2012). I pull up stakes be giving a exact presentation on math required for the solution to this problem the accompanying graph shows all of the possibilities for the add of refrigerators and the hail of TVs that pass on fit into an 18-wheeler. The point- deliver form of a linear equation to write the equation itself after part now be physical exertiond. These argon the stairs we take to solve our linear inequality. I will start with the point-slope form. Substitute slope form with (300, 0) for the x and y. Next we be going to use the distributive shoes and then add 330 to both nerves and split both sides by -3 and cancel discover the like terms.The graph has a steady line rather than a cannonball along line indicating that points on the line itself ar part of the solution coif. This will be true anytime the inequality symbol has the equal to bar.a) Write an inequality to describe this region.p = y1-y2 /x1-x2 = 330 0 / 0- cx = -3/1 the slope is -3/1 or -3 y y1 = p(x x1) y 330 = 3 / 1(x-0) y= 3x/1 + 330 -3x/1 +330 = y looking at switch by place the y on the right hand side -3x/-3 = y/-3 330/ -3 disassociate each equation by -3 and cancel out like terms -3y = 1x + 110 -3y + 1x < 110b) Will the hand truck pretend 71 refrigerators and 118 TVs? In this problem I will be change 71 where the y is for refrigerators and 118 where the x is for TVs to nail down if the truck will withstand them.-3 (71) + 1 (118) < 110 -213 + 118 < 110 -95 < 110 Which authority that the truck will not to lerate 71 refrigerators and 118 TVs.c) Will the truck hold 51 refrigerators and 176 TVs? This problem is similar to the anterior one.-3 (51) + 1 (176) < 110 -153 +176 < 110 23 < 110 yes, the truck will hold at least 51 refrigerators and 176 TVsThe Burbank buy More store is going to work out an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the uniform 18-wheeler? Describe the restrictions this would add to the existing graph. understand for y1(60) + -3y < 110 -3y < -60 + 110 add 110 to -60 to get 50 -3y < 50 divide both terms by -3 -3y/-3 > 50/-3 signs flip y > -50/3 or y = 16There will be no added restriction because the maximum numbers of TVs The contiguous day, the Burbank Buy More decides they will hold up a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the aforesaid(prenominal) tru ck? Describe the restrictions this would add to the airplane pilot graph. 1x + -3 (200) < 110x < 600 + 100 x = < 710 If 200 TVs are ship.When graphing linear inequalities and they are greater than or less than you will use a dashed line. When the inequality is greater than or equal to or less than or equal to you will then use a solid line, which indicates that the points on the line are part of the solution set (Slavin, 2001). In this paper I have shown you a linear equation and skint down each step in solving the equation. I used the method of substitution for the variables and explained what the equations represent.