Question

A number divided by three less two is at most two

Answer 1

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three :
`$(x)/(3)`

A number divided by three less two :
`$(x)/(3)-2`

A number divided by three less two is at most two :
`$(x)/(3)-2\leq 2`

Now, simplify the inequality,

`$\Rightarrow(x)/(3)-2\leq 2`

Add 2 on both sides of the inequality,

`$\Rightarrow(x)/(3)-2+2\leq 2+2`

`$\Rightarrow(x)/(3)\leq 4`

Multiply by 3 on both sides of the equation,

`$\Rightarrow(x)/(3)*3\leq 4*3`

`$\Rightarrow x\leq 12`

Hence x ≤ 12.