Question
Translate: 4 · (12 - x) < 40
Answers
GPT-4o mini
To translate the inequality \( 4 \cdot (12 - x) < 40 \), you can first simplify the expression:
1. Distribute the 4:
\( 48 - 4x < 40 \).
2. Now, you can isolate \( x \):
- Subtract 48 from both sides:
\( -4x < 40 - 48 \)
\( -4x < -8 \).
3. Divide both sides by -4 (remember to reverse the inequality sign when dividing by a negative number):
\( x > 2 \).
So the inequality translates to:
\( x > 2 \).
1. Distribute the 4:
\( 48 - 4x < 40 \).
2. Now, you can isolate \( x \):
- Subtract 48 from both sides:
\( -4x < 40 - 48 \)
\( -4x < -8 \).
3. Divide both sides by -4 (remember to reverse the inequality sign when dividing by a negative number):
\( x > 2 \).
So the inequality translates to:
\( x > 2 \).