Question

& The product of 2 and a number is at most -6.

Answer 1

Answer:
`x \le -3`

Step-by-step 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
`2x \le -6` since the highest 2x can go is -6. Think of this as the ceiling value.

Divide both sides by 2 to solve for x.

`2x \le -6\\\\2x/2 \le -6/2\\\\x \le -3\\\\`

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.