boloman0z

2022-06-24

How do you write an inequality for the following statement. 3 is less than or equal to x?

Raven Higgins

Explanation:
In mathematical terms "is less than or equal to" is written as: $\le$.
So we can write 3 is less than or equal to x as: $3\le x$

Dania Mueller

Step 1
Lets consider some examples
$2=2$
$2=3-1$ and so on.
That deals with the equals bit
2 is less than 3 $\to 2<3$
The gap between the two lines of < on the right is much greater than the left. The greater gap indicates greater value. So reading left to right $2<3$. Stating the obvious; the 2 is less than the 3 or 3 is greater than 2 $\to 3>2$
Step 2
Putting them together
Look at the order of the wording " 3 less than or equal to x"
Writing the numbers and symbols in the same order as the wording we have $3<=x$. However, the correct format for this is $3\le x$.
Step 3
Footnote
a less than b $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\to \phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}a
a less than or equal to b $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\to \phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}a\le b$
a greater than b $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\to \phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}a>b$
a greater than or equal to b $\to \phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}a\ge b$
a not equal to b $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}\to \phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}a\ne b$

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