Question

Translate the sentence "Twice the difference of a number and 4 is at least 16" into an inequality. Use the variable y for the unknown number.

Answer 1

The sentence is converted into an inequality as 2(y - 4) ≥ 16 where 'y' represents the unknown number. 'Twice the difference' means multiplying the difference by 2, and 'is at least' corresponds to the inequality symbol '≥'.

Step-by-step explanation:

The sentence "Twice the difference of a number and 4 is at least 16" can be translated into an inequality by following these steps:

1. Identify the unknown number as 'y'.
2. Understand that 'the difference of a number and 4' means 'y - 4'.
3. 'Twice the difference' then becomes '2(y - 4)'.
4. 'Is at least' refers to a value that is equal to or greater than something, so it corresponds to the inequality symbol '≥'.
5. Putting it all together, you get the inequality 2(y - 4) ≥ 16.

Therefore, the inequality that represents "Twice the difference of a number and 4 is at least 16" using the variable y is 2(y - 4) ≥ 16.