Question

1. the product of a number and 4 is at least −12.

inequality:
solution:

Explanation:

Step1: Define the variable

Let the number be \( x \). The product of the number and 4 is \( 4x \). "At least" means greater than or equal to, so the inequality is \( 4x \geq - 12 \).

Step2: Solve the inequality

To solve \( 4x \geq - 12 \), divide both sides by 4. Since 4 is positive, the inequality sign remains the same. So \( x\geq\frac{- 12}{4}=-3 \).

Answer:

Inequality: \( 4x\geq - 12 \)
Solution: \( x\geq - 3 \)