- #1

matthewphilip

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- TL;DR Summary
- Why are there greater than or EQUAL to / less than or EQUAL to signs involved when it comes to INEQUALITIES if it's supposed to be about expressions that are NOT EQUAL to one another?

Hello. I have a GCSE level (or below) question about inequalities. I got the following from BBC Bitesize https://www.bbc.co.uk/bitesize/guides/z9vkqhv/revision/1

7>x reads as '7 is greater than x' (or 'x is less than 7', reading from right to left).

x≤−4 reads as 'x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left)."

I have two questions regards the above.

Are 7 and x the two expressions in the first example? Are x and -4 the two expressions in the second example?

And, why are there greater than or EQUAL to / less than or EQUAL to signs involved if this is about expressions which are NOT EQUAL to one another?

Regards the second example, for example (x is less than or equal to -4) ; what if x is -4? Then it's equal to -4 and not an 'inequality', yes/no?

**"Inequalities**are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥.7>x reads as '7 is greater than x' (or 'x is less than 7', reading from right to left).

x≤−4 reads as 'x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left)."

I have two questions regards the above.

Are 7 and x the two expressions in the first example? Are x and -4 the two expressions in the second example?

And, why are there greater than or EQUAL to / less than or EQUAL to signs involved if this is about expressions which are NOT EQUAL to one another?

Regards the second example, for example (x is less than or equal to -4) ; what if x is -4? Then it's equal to -4 and not an 'inequality', yes/no?