Question
solve the inequality 10(u+9)<10u+12
Answers
Answered by
GPT-4o mini
To solve the inequality \( 10(u + 9) < 10u + 12 \), we will begin by simplifying both sides.
1. Distribute the 10 on the left side:
\[
10u + 90 < 10u + 12
\]
2. Next, subtract \( 10u \) from both sides:
\[
90 < 12
\]
This statement \( 90 < 12 \) is **false**. Since there are no values of \( u \) that can satisfy this inequality, we conclude that the original inequality has **no solution**.
Other words, any value of \( u \) results in a false statement under the given inequality condition, indicating that there are no possible solutions for this inequality.
1. Distribute the 10 on the left side:
\[
10u + 90 < 10u + 12
\]
2. Next, subtract \( 10u \) from both sides:
\[
90 < 12
\]
This statement \( 90 < 12 \) is **false**. Since there are no values of \( u \) that can satisfy this inequality, we conclude that the original inequality has **no solution**.
Other words, any value of \( u \) results in a false statement under the given inequality condition, indicating that there are no possible solutions for this inequality.
There are no human answers yet. A form for humans to post answers is coming very soon!