Which choice is the solution to the inequality below?

[tex]6x \leq 12[/tex]

A. [tex]x \leq 6[/tex]

B. [tex]x \leq 12[/tex]

C. [tex]x \geq 2[/tex]

D. [tex]x \leq 2[/tex]



Answer :

To solve the inequality \(6x \leq 12\), let's follow these steps:

1. Start with the given inequality:
[tex]\[ 6x \leq 12 \][/tex]

2. Isolate the variable \(x\) by dividing both sides of the inequality by 6 (the coefficient of \(x\)):
[tex]\[ \frac{6x}{6} \leq \frac{12}{6} \][/tex]

3. Simplify both sides:
[tex]\[ x \leq 2 \][/tex]

So, the correct solution for the inequality \(6x \leq 12\) is:
[tex]\[ x \leq 2 \][/tex]

This means the value of \(x\) can be any number that is less than or equal to 2.

Therefore, the correct choice is:
D. [tex]\( x \leq 2 \)[/tex]