Question

The product of -8 and a number is at least -56

What algebraic inequality represents the phrase and what are the solutions?

Answer 1

9514 1404 393

Answer:

• -8x ≥ -56
• x ≤ 7

Explanation:

"At least" means "greater than or equal to." If the number is represented by x, then the phrase is represented by ...

-8x ≥ -56

The solution is found by dividing by -8, which reverses the inequality symbol:

x ≤ 7