Question

solve the inequality.

1. five times a number is less than -45.

inequality:
solution:

Explanation:

Step1: Define the variable

Let the number be \( x \). Five times the number is \( 5x \).

Step2: Write the inequality

"Five times a number is less than -45" translates to \( 5x < - 45 \).

Step3: Solve the inequality

Divide both sides of the inequality \( 5x < - 45 \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{5x}{5}<\frac{-45}{5} \), which simplifies to \( x < - 9 \).

Answer:

Inequality: \( 5x < - 45 \)
Solution: \( x < - 9 \)