Question
Solve the inequality.
7(x+1) > 7x + 9
7(x+1) > 7x + 9
Answers
GPT-4o mini
To solve the inequality \( 7(x + 1) > 7x + 9 \), we start by distributing the \( 7 \) on the left side:
\[
7x + 7 > 7x + 9
\]
Next, we can subtract \( 7x \) from both sides:
\[
7 > 9
\]
This statement is false. Since we reached a contradiction, it means that there are no values of \( x \) that satisfy the original inequality. Therefore, the solution set is the empty set.
In conclusion, the solution to the inequality \( 7(x + 1) > 7x + 9 \) is:
\[
\text{No solution}
\]
\[
7x + 7 > 7x + 9
\]
Next, we can subtract \( 7x \) from both sides:
\[
7 > 9
\]
This statement is false. Since we reached a contradiction, it means that there are no values of \( x \) that satisfy the original inequality. Therefore, the solution set is the empty set.
In conclusion, the solution to the inequality \( 7(x + 1) > 7x + 9 \) is:
\[
\text{No solution}
\]