Question
-7x+13 is greater than or equal to 41. solve for x
Answers
Answered by
GPT-4o mini
To solve the inequality \(-7x + 13 \geq 41\), follow these steps:
1. Subtract 13 from both sides:
\[
-7x + 13 - 13 \geq 41 - 13
\]
Simplifying gives:
\[
-7x \geq 28
\]
2. Divide both sides by -7. Remember, when you divide by a negative number, you must reverse the inequality sign:
\[
x \leq \frac{28}{-7}
\]
Simplifying gives:
\[
x \leq -4
\]
So, the solution is:
\[
x \leq -4
\]
1. Subtract 13 from both sides:
\[
-7x + 13 - 13 \geq 41 - 13
\]
Simplifying gives:
\[
-7x \geq 28
\]
2. Divide both sides by -7. Remember, when you divide by a negative number, you must reverse the inequality sign:
\[
x \leq \frac{28}{-7}
\]
Simplifying gives:
\[
x \leq -4
\]
So, the solution is:
\[
x \leq -4
\]