Question

If $x\le 4$, then $x-1\le$ __

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

Given, $\text{x}\le 4$
There will be a closed circle on 4 as value of
$\text{x}$ is equal to 4.

Arrow will head towards left to the number line because $\text{x}$ is less than 4.

Number line representation of $\text{x}-1$
$\to$ subtract 1 to the both side
$\to \text{x}-1\le 4-1$
$\to \text{x}-1\le 3$
There will be a close circle on 3 as value of $\text{x}$ - 1 is equal to 3.

Arrow will head towards left to the number line because $\text{x}$ - 1 is lesser than 3.

We can see on the number line, possible values of $\text{x}-1$ are lesser than or equal to $3$.
$\therefore \text{x}-1\le 3$