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# Inequality word problems

## Video transcript

John is making pasta dough to make the dough he mixed three halves cups wheat flour with 3/4 cups regular flour in some water write an inequality to express the relationship between the wheat flour and the regular flour so he mix three halves cups of wheat flour three has is the exact same thing as 1 and 1/2 if we were to write it as a mixed number so it's more than one cup of wheat flour and he mixes that with 3/4 cups of regular flour well 3/4 is less than one so three halves is definitely greater than 3/4 and we can write that we can just pick greater than right over there three halves is greater than 3/4 let's do a couple more of these one of the deepest points in the Indian Ocean the D month Deena trench is at negative 8 kilometers we say it is negative 8 kilometers because it is 8 kilometers below sea level the deepest part of the Bering Strait is at negative 5 and 4/9 kilometers write an inequality to show the relationship between these two points and determine which point is deeper so let's say we have a greater than sign here so we want to write whichever quantity is greater on the left-hand side so we look right over here this number 5 negative 5 and 4/9 it is less negative so it's actually going to be a greater value it's not as deep so we can write negative 5 and 4/9 is greater than negative 8 or negative 5 and 4/9 kilometers is greater than negative 8 kilometers and so if we're thinking about which point is deeper it's going to be the one that's more negative because that tells us how far below sea level we are so the negative 8 kilometer point is further below sea level and that is so let's see negative 8 kilometers the diamant Tina trench DM DM montina trench a negative 8 kilometers is the deeper point and this is fun because in some of these questions you actually learn things I always thought the I always thought that the deepest part of the bearing see well anyway we can we can talk about that another time so at negative 8 kilometers so the de montina trench deem diamantina trench is deeper let's do one more John is making noodles to make the batter he mixes eleven sixteenths cups tacky oppa tapioca flour with 3/8 cups rice flour and some water write an inequality to express the relationship between the tapioca flour and rice flour so we're really comparing 1116 cups of tapioca at a 3/8 cups rice flour so we're really comparing these two fractions and at first it might seem hard to compare you have different denominators but 3/8 could easily be converted to a fraction with 16 as a denominator what would you do well if you doubled both the 3 and the 8th you have to do the same thing to the numerator and the denominator this fraction 3/8 is equivalent to 616 and then you would have the same denominator you could compare eleven sixteenths to 616 well if you have the same denominator and this numerator is greater 11 is greater than 6 11 16 is going to be greater than greater than 6 16th which is the same thing as 3/8 and we got it right