Inequality Symbols: <, >, ≤, ≥ 03:22 minutes

Video Transcript

Transcript Inequality Symbols: <, >, ≤, ≥

Christopher the Vampire is a foodie and he needs a fresh, new story for his blog: The Vegetarian Vampire. He’s working on a new piece, so he wants to go to a place where his favorite fruit grows: the blood orange. He read on Vampedia that blood oranges grow in California, which is perfect because he’s always wanted to visit the underground gardens there. To help him pack, he uses his knowledge of inequality symbols. And he has all his supplies laid out in his bed? Capes, check. Hair gel, check. Blood orange juice, check. 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.

Use of inequalities

Christopher the Vampire’s trip will last fewer than 15 days. For inequailties with 'less than', we use this sign <. Furthermore, for this trip, Chris can't take more than 1000ml of blood orange juice on the plane. For inequalities like 'less than or equal to' we use this symbol: ≤. Our foodie vampire also needs to pack more than 1 bottle of hair gel, since he ran out during his last vacation. Let's draw this on the number line. For inequalities with 'more than', we use the 'greater than' symbol. He also needs to pack at least 16 capes, one for each day and two, just in case. For inequalities with 'at least', we use the 'greater than or equal to' symbol.

Inequalities summary - Imagine a mouth

Let's take another look at the different inequality symbols. A good way to remember which number is greater, is to think of each sign like a mouth. The mouth will always eat the larger of the two numbers being compared. For example let's compare 2 and 4. Since 2 is less than 4, the mouth will eat the 4. If the mouth opens to the right, it's read: 'a' is less than 'b'. However, if the mouth opens to the left, it's read: 'a' is greater than 'b'. As we saw earlier, the greater than and less than symbols can also be combined with the equal sign. 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. But, when we say 'at least', we mean 'greater than or equal to'. Here a could be greater than b or equal to b. Let’s see how Christopher the Vampire is enjoying his vacation. OH NO! No more blood oranges?!? This might make his vacation a bit tougher...