Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]2(x-2)\leq 2[/tex]
Divide both the sides by 2.
[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]
[tex](x-2)\leq 1[/tex]
Add 2 on both the sides.
[tex]x-2+2\leq 1+2[/tex]
[tex]x\leq 3[/tex]
The value of x is than or equal to 3. In other words 3 greater than or equal to x.
Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.
Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.
Therefore the correct option is 1.
