Number

Statistics and Probability

3.5 Inequalities

State the meaning of the following inequalities.
1.
$x<10$
$x$ is less than 10.
2.
$x>10$
$x$ is greater than 10.
3.
$y≤4$
$y$ is less than or equal to 4.
4.
$y≥90$
$y$ is greater than or equal to 90.
5.
$3
$a$ is greater than 3 but less than or equal to 10.
6.
$−4≤a<−1$
$a$ is greater than or equal to -4 but less than -1.
7.
$60≥x≥−10$
$x$ is less than or equal to 60 but greater than or equal to -10.

Inequality Symbols

It is very easy to get the symbol round the wrong way. So always check.

If the letter (say $x$) is next to the bigger end of the symbol ($x>$) then $x$ is greater than…

If the letter (say $x$) is next to the little end of the symbol ($x<$) then $x$ is less than…

The symbol with the double line (i.e. $≤$ or $≥$) is inclusive of the value (hence equal to).

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