In this particular case, there is only one value of x which does the job, namely x = 3. The request to solve x + 1 = 4 means to find the value (or values) of x, which x + 1 is equal to 4. For example, x + 1 = 4, depending of what x may stand for, may or may not be correct. If the expressions A and B are not constant, i.e., if they contain variables, then most often A = B means a request to find the values of the variables, for which A becomes equal to B. While 1 + 2 ≠ 4 is a correct statement, 1 + 1 ≠ 2 is not. But the meaning is just the opposite from "=". The same holds for the symbol "≠", not equal. While 1 + 1 = 2 is a correct statement, 1 + 2 = 4 is not. So, being equal, does not necessarily mean being the same.Īlso, the statement that involves the symbol "=" may or may not be correct. For example, 1 + 1 does not look like 2 but the definitions of the symbols 1, 2, +, and the rules of arithmetic tell us that 1 + 1 = 2. The symbol of equality "=" is used to make a statement that two differently looking expressions are in fact equal. The sign "=" of equality which is pronounced "equal to" has other, more fruitful uses. One can't go wrong with expressions like N = N because they do not say much. For example, for any number or expression N, N = N. If A and B are two constant expressions, we write A = B if they are equal, and A ≠ B, if they are not. OH NO! No more blood oranges?!? This might make his vacation a bit tougher.Less than, Equal to, Greater Than Symbols Let’s see how Christopher the Vampire is enjoying his vacation. Here a could be greater than b or equal to b.
But, when we say ' at least', we mean 'greater than or equal to'. When we say ' as many as' or 'no more than', we mean 'less than or equal to' which means that a could be less than b or equal to b. As we saw earlier, the greater than and less than symbols can also be combined with the equal sign. However, if the mouth opens to the left, it's read: 'a' is greater than 'b'.
If the mouth opens to the right, it's read: 'a' is less than 'b'. Since 2 is less than 4, the mouth will eat the 4. The mouth will always eat the larger of the two numbers being compared. A good way to remember which number is greater, is to think of each sign like a mouth. Let's take another look at the different inequality symbols. For inequalities with ' at least', we use the ' greater than or equal to' symbol. He also needs to pack at least 16 capes, one for each day and two, just in case. For inequalities with 'more than', we use the ' greater than' symbol. Our foodie vampire also needs to pack more than 1 bottle of hair gel, since he ran out during his last vacation. For inequalities like ' less than or equal to' we use this symbol: ≤. Furthermore, for this trip, Chris can't take more than 1000ml of blood orange juice on the plane. For inequailties with 'less than', we use this sign <. Use of inequalitiesĬhristopher the Vampire’s trip will last fewer than 15 days. But how much of this stuff is he allowed to carry with him on the plane? Let's take a look at the number line. And he has all his supplies laid out in his bed? Capes, check. To help him pack, he uses his knowledge of inequality symbols. He read on Vampedia that blood oranges grow in California, which is perfect because he’s always wanted to visit the underground gardens there. He’s working on a new piece, so he wants to go to a place where his favorite fruit grows: the blood orange. Christopher the Vampire is a foodie and he needs a fresh, new story for his blog: The Vegetarian Vampire.
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