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Question Video: Identifying Inequalities Mathematics

Which of the following is an inequality? [A] 2𝑥 − 7 ⩽ 5 [B] 7 − 2(𝑥 − 1) = 4 [C] 12𝑛² + 4

01:20

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.

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