Question

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

Answer 1

Hint: In this problem we have to write the given inequality statement into a mathematical expression. We know that in an equality, the two expressions are not necessarily equal, which is indicated by the symbol \[<,>,\ge ,\le \]. We can first look at the order of the wording “3 less than or equal to x”, writing the numbers and symbol as wording we have \[3<=x\], but the correct format is \[3\le x\] as in the mathematical terms “ is less than or equal to “ is written as \[\le \].

Complete step by step answer:
We know that the given statement to be written in mathematical terms is,
‘3 less than or equal to x’
Now we can look at the order of the words.
“3 less than or equal to x”
Writing the numbers and symbol as wording, we have
\[\Rightarrow 3\le x\]

Therefore, the inequality in mathematical term for the statement “3 less than or equal to x” is
\[3\le x\].

Note: We should know that the gap between two lines of < on the right is much greater than the left. The greater gap indicates the greater value, for example reading left to write 2 < 3 stating that 2 is less than 3. Students make mistakes while writing the less than and greater than symbol correctly, which should be concentrated.