Question

Translate the sentence into an inequality. Nine increased by the product of a number and 6 is greater than or equal to -18

Answer 1

Given the sentence: "Nine increased by the product of a number and 6 is greater than or equal to -18", you need to know the following in order to translate it into an inequality:

1. The word "increased" indicates an Addition.

2. A Product is the result of a Multiplication.

3. The inequality symbol whose meaning is "Greater than or equal to" is:

`\ge`

Let be "x" the unknown number.

Then, you can write the following expression to represent the product of a number and 6:

`6x`

Therefore, "Nine increased by the product of a number and 6" is:

`9+6x`

Knowing that this expression is greater than or equal to -18, you can write the following inequality:

`9+6x\ge-18`

Hence, the answer is:

`9+6x\ge-18`