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N. 1 Solutions to inequalities
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Is a solution to the inequality below?
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yes
no
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Not feeling ready yet? These can help:
Which satisfies an equation?
Compare and order integers
Lesson: Inequalities on a number line

Ask by Munoz Ellis. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

is not a solution to the inequality .

Solution

To determine if is a solution to the inequality , we will follow these steps:
  1. Understand the inequality: The inequality means that can be any number that is less than or equal to 8.
  2. Substitute the value: We will substitute into the inequality to see if it holds true.
  3. Evaluate the inequality: Now we need to check if the statement is true or false.
    • The number 9 is greater than 8, so the statement is false.
  4. Conclusion: Since substituting into the inequality does not satisfy it, we conclude that is not a solution to the inequality .
Thus, the answer is no.

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The Deep Dive

To determine if is a solution to the inequality , you simply need to substitute into the expression. Since is not less than or equal to , the answer is “no.” Remember, inequalities show a range of solutions; they’re like a treasure map guiding you to find all the possible values that make the statement true!
When working with inequalities, a common mistake is not flipping the inequality sign when multiplying or dividing by a negative number. For example, if you change , dividing both sides by requires flipping the sign to get . Always double-check your operations—it’s the little details that can lead to a big difference!

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