Video Transcript
Which of the following is an
inequality? We have two 𝑥 minus seven is less
than or equal to five, seven minus two multiplied by 𝑥 minus one is equal to four,
or 12𝑛 squared plus four.
So what we’re trying to find out in
this question is which one of (A), (B), and (C) is in fact an inequality. Well, for it to be an inequality,
it has to be a mathematical sentence that includes one of our inequality signs. Well, first of all, we’ll quickly
remind ourselves of what the inequality signs are. We have less than, greater than,
less than or equal to, or greater than or equal to.
Well, we can see that (A) is two 𝑥
minus seven and then is less than or equal to five. So this has one of our inequality
signs. So therefore, this is in fact an
inequality. Okay, but let’s have a quick look
at the other two and see what these are. Well, if we take a look at seven
minus two multiplied by 𝑥 minus one is equal to four, well, this has an equals
sign. So therefore, this is an
equation. Well, if we look at 12𝑛 squared
plus four, this neither has an inequality sign or an equals sign or in fact an
identity sign. So therefore, this is an
expression.