Final answer:
The equation or inequality is -5x < 30. The solution is x > -6.
Step-by-step explanation:
To represent the relationship 'the product of a number and -5 is less than 30' as an equation or inequality, we can use:
-5x < 30
To solve this inequality, divide both sides by -5. Remember that when you divide or multiply both sides of an inequality by a negative number, the inequality sign flips. So the solution is:
x > -6