Question

Choose the algebraic sentence that most correctly matches thisEnglish sentence: Four more than a ninth of a number is greater than or equal to ten times that number.Write the following statement in a mathematical inequality and solve."If five were subtracted from 9 times a number, the result is greater than six more than 5 times the number."

Answer 1

- English sentence: Four more than a ninth of a number is greater than or equal to ten times that number.

This can be wrtten algebraically as follow:

4 + (1/9)x ≥ 10x

- "If five were subtracted from 9 times a number, the result is greater than six more than 5 times the number."

Alebraically you have:

9x - 5 > 6 + 5x

Next, you solve the previous inequality:

9x - 5 > 6 + 5x subtract 5x and sum 5 both sides

9x - 5x - 5 + 5 > 6 - 5 + 5x - 5x

4x > 1 divide by 4 both sides

x > 1/4

Hence, the solution to the inequality is x > 1/4