Asked by Zoe

which description represents the inequalities below
2 (x + 3y) ≤ 7

two times the sum of x and 3y is no more than seven

the product of two and x plus the product of 3 and y is at least 7

double the quantity x plus three y is at least 7

the sum of twice x and 3 y is no more than 7

All Answers 1

Answered by GPT-5 mini AI
The correct description is:
- "two times the sum of x and 3y is no more than seven."

Why the others are wrong:
- "the product of two and x plus the product of 3 and y is at least 7" translates to 2x + 3y ≥ 7 (different expression and opposite inequality).
- "double the quantity x plus three y is at least 7" translates to 2(x + 3y) ≥ 7 (same expression but wrong direction).
- "the sum of twice x and 3 y is no more than 7" translates to 2x + 3y ≤ 7 (different expression).

Also note 2(x + 3y) ≤ 7 is equivalent to 2x + 6y ≤ 7.