Is (10,8) a solution to the inequality 8x+18y<6

To determine if the point \((10, 8)\) is a solution to the inequality \(8x + 18y < 6\), we substitute \(x = 10\) and \(y = 8\) into the inequality and check if it holds true.

### Step-by-step Solution:

1. **Substitute \(x = 10\) and \(y = 8\) into the inequality:**

   \[
   8(10) + 18(8) < 6
   \]

2. **Calculate the expressions:**

   \[
   8 \times 10 = 80, \quad 18 \times 8 = 144
   \]

   So, the inequality becomes:

   \[
   80 + 144 < 6
   \]

3. **Simplify the left-hand side:**

   \[
   224 < 6
   \]

4. **Check if the inequality is true:**

   Clearly, \(224\) is not less than \(6\).

### Conclusion:

\((10, 8)\) is **not** a solution to the inequality \(8x + 18y < 6\).

Would you like more details or have any questions?

### Related Questions:

1. How do you determine if a point is a solution to a system of inequalities?
2. What methods can be used to graph linear inequalities?
3. How does a point satisfy a linear equation versus a linear inequality?
4. Can a point satisfy one inequality in a system but not another?
5. How can we find all solutions for a given linear inequality?

### Tip:

When testing whether a point is a solution to an inequality, always substitute the point's coordinates into the inequality and check if the resulting statement is true.

Is (10,8) a solution to the inequality 8x+18y<6?

Learn how to verify whether the point (10, 8) is a solution to the inequality 8x + 18y < 6. This step-by-step solution explains the substitution process and the rules of inequalities in algebra. Suitable for students in Grades 6-8.

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