The 2x means "2 times x". We can write it as "2*x" to be more clear that we're using multiplication. Two times some number is larger than 6. To figure out the possible numbers, we divide both sides by 2
[tex]2x \ge 6[/tex]
[tex]\frac{2x}{2} \ge \frac{6}{2}[/tex]
[tex]x \ge 3[/tex]
So x can be 3 or larger