Answer: [tex]x \le -3[/tex]
Explanation:
x = the unknown number
2x = the product of 2 and the unknown number
We're told that 2x is at most -6, which means [tex]2x \le -6[/tex] since the highest 2x can go is -6. Think of this as the ceiling value.
Divide both sides by 2 to solve for x.
[tex]2x \le -6\\\\2x/2 \le -6/2\\\\x \le -3\\\\[/tex]
The division by 2 operation undoes the multiplication of 2 on x.
To graph this on a number line, plot a filled in circle at -3. Then shade to the left to indicate the set of all numbers that are -3 or smaller.
