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# Writing two-variable inequalities word problem

CCSS.Math:

## Video transcript

Fabiano wants to score at least 6.5 points in a major test part in a major chess tournament he scores one point for each game that he wins and he scores 0.5 points for each game that ends in a draw write an inequality that represents the number of games Fabiano's should win and draw D to achieve his goal so I encourage you to pause the video and see if you could do that right in equality in terms of the number of games won so capital W and the number of draws capital D the two that represents what he needs to do to actually achieve his goal all right let's work through it together so how many points is he going to get from winning so if he wins w he's going to win w games and he gets one point for each of them so it's going to be one point per game times the number of games so one W I could just write it as W so this is the points from winning points from winning from wins I could say and what are his points going to be from the draws well from the draws he's going to have he's going to have D draws and he gets 0.5 points for each of them 0.5 times D this is going to be the points from the draws points from the draws from the draws now this right over here is going to be total points points from wins points from draws I'm assuming he gets no points for losses and we want this number the total number of points his score to be at least six point five so we want this to be greater than or equal to six point five greater than or equal to six point five if it says Fabriano wants to score more than six point five that it would have been greater than but it says five Bobby Fabiana wants to score at least six point five so that's greater than or equal to six point five he's okay if he scores six point five and there you have it we have our inequality in terms of in terms of the number of games he needs to win and draw and this is that this inequality needs to be true in order for him to score at least six and a half points in this major chess tournament