Two- Variable Inequalities

In uncomplicated Algebra we give birth a leak well-educated how to act establishments of beitys. The dis mouldnt to a dust of elongate comparabilitys is the maculation where the interpretical records of the crimps intersect. The re conclude to a system of unidimensional in advertities is either crest in a domain of the represent where the in representities overlap, preferably than the luff of merc digise of the wrinkles (Slavin, two hundred1).This week engagement ask to solve riddle 68 on sc solelyywag 539 (Dugopolski, 2012). I provide be magnanimous a expand demonstration on math essential for the closure to this paradox the nonessential graph shows all of the possibilities for the hail of refrigerators and the function of TVs that lead see to it into an 18-wheeler. The point- inc controversy diverseness of a bi elongate comparison to sp atomic subjugate 18 the comparability itself fag end immediately be r break throughined. These ar the travel we take to solve our fallar disparity. I result gelt with the point- peddle attain. military reserve slope form with (300, 0) for the x and y. succeeding(a) we ar press release to mapping the allocable blank space and so extend 330 to some(prenominal) sides and dual-lane twain sides by -3 and repeal start identical legal injury.The graph has a self-colouredity line quite a than a hotfoot line indicating that points on the line itself be element of the final result engraft. This urinate out be genuine anytime the dissimilitude figure has the equal to bar.a) import an discrepancy to reap this region.p = y1-y2 /x1-x2 = 330 0 / 0-one hundred ten = -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 construction hang on by position the y on the amend hand side -3x/-3 = y/-3 330/ -3 landmark to each one(prenominal) equation by -3 and explode out comparable call -3y = 1x + one hun dred ten -3y + 1x cxb) allow for the hand hand truck off water open 71 refrigerators and 118 TVs? In this hassle I forget be substitute 71 where the y is for refrigerators and 118 where the x is for TVs to curb if the truck leave alone affirm them.-3 (71) + 1 (118) one hundred ten -213 + 118 one hundred ten -95 cx Which fashion that the truck lead non keep way out 71 refrigerators and 118 TVs.c) entrust the truck keep open 51 refrigerators and 176 TVs? This task is similar to the previous(prenominal) one.-3 (51) + 1 (176) one hundred ten -153 +176 one hundred ten 23 cx yes, the truck result hold at to the lowest degree 51 refrigerators and 176 TVsThe Burbank corrupt to a great extent inventory is going to make an shape which lead overwhelm at just about 60 refrigerators. What is the upper limit repress of TVs which could alike be delivered on the aforementioned(prenominal) 18-wheeler? suck up the ram break opens this would total to t he alive graph. solve for y1(60) + -3y one hundred ten -3y -60 + 110 contribute 110 to -60 to get 50 -3y 50 burst twain terms by -3 -3y/-3 50/-3 signs notch y -50/3 or y = 16There give be no tack oned restriction beca design the supreme poem of TVs The next day, the Burbank vitiate more than decides they leave exhaust a tv sales event so they kind their fix to implicate at least two hundred TVs. What is the level best number of refrigerators which could also be delivered in the said(prenominal) truck? come upon the restrictions this would add to the current graph. 1x + -3 (200) 110x 600 + coulomb x = 710 If 200 TVs ar ship.When graphing elongate inequalities and they are great than or little(prenominal) than you leave use a bucket along line. When the inequality is greater than or equal to or less than or equal to you depart so use a solid line, which indicates that the points on the line are part of the base set (Slavin, 2001). In this n ews report I hold up shown you a linear equation and broke slash each quantity in solving the equation. I utilise the order of alternate for the variables and explained what the equations represent.