The difference of twice a number and 6 is less than or equal to 23

Question

Use y as your variable for the unknown variable

Answer 1

Since the problem states "twice a number" and the unknown number should be represented by y, we can write the following expression for this part of the problem: 2y

Then since difference indicates subtraction, we can subtract 6 from our expression: 2y - 6

Next, we can represent the words "less than or equal to" with the symbol, <

The final inequality can be created by combining this expression and symbol with 23: 2y - 6 < 23

This inequality can be solved using inverse operations:

2y - 6 < 23

2y - 6 + 6 < 23 + 6

2y < 29

2y/2 < 29/2

y < 14.5 or 14 1/2

y can be any number less than or equal to 14.5