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 : $\frac{x}{3}$

A number divided by three less two : $\frac{x}{3}-2$

A number divided by three less two is at most two : $\frac{x}{3}-2\leq 2$

Now, simplify the inequality,

$\Rightarrow\frac{x}{3}-2\leq 2$

Add 2 on both sides of the inequality,

$\Rightarrow\frac{x}{3}-2+2\leq 2+2$

$\Rightarrow\frac{x}{3}\leq 4$

Multiply by 3 on both sides of the equation,

$\Rightarrow\frac{x}{3}\times3\leq 4\times3$

$\Rightarrow x\leq 12$

Hence x ≤ 12.