Math Problem Statement

5y + 9 less then 4

Solution

We are given the inequality:

5y+9<45y + 9 < 4

To solve for yy, follow these steps:

  1. Subtract 9 from both sides to isolate the term with yy:

5y<495y < 4 - 9 5y<55y < -5

  1. Divide both sides by 5 to solve for yy:

y<55y < \frac{-5}{5} y<1y < -1

Thus, the solution is y<1y < -1.

Would you like further details on this process or have any questions?

Here are five related questions for further exploration:

  1. How would the inequality change if the original expression was 5y+945y + 9 \leq 4?
  2. What is the graphical representation of y<1y < -1 on a number line?
  3. How would the solution differ if the inequality was 5y+9>45y + 9 > 4?
  4. How do you solve inequalities when there is a negative coefficient with the variable?
  5. What happens when you multiply or divide an inequality by a negative number?

Tip: Remember, when dividing or multiplying both sides of an inequality by a negative number, the inequality symbol reverses!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities

Formulas

Linear inequality manipulation
y < (constant)

Theorems

Properties of inequalities

Suitable Grade Level

Grades 6-8