Question

the inequality g less than or equal to 6 represents the number of gallons of gas you can buy with $20. explain the solution of the inequality in the real-world problem. you can buy 7 or more gallons of gas with $20, you can buy from 0 to 6 gallons of gas with $20, you can buy from -6 to 6 gallons of gas with $20, you can buy exactly 6 gallons of gas with $20

Answer 1

Correct answer: you can buy from 0 to 6 gallons of gas with $20.

Reason: g ≤ 6 means the number of gallons is at most 6 (6 is included). In the real world you cannot buy a negative amount of gas, so g must be ≥ 0. Combining both gives 0 ≤ g ≤ 6. The other choices are wrong: "7 or more" contradicts ≤6, "-6 to 6" includes impossible negative gallons, and "exactly 6" ignores the possibility of buying fewer than 6 gallons.