Question
Which graph shows the solution to 12x−4<56
12
𝑥
−
4
<
56
? Select 1, 2, 3, or 4 for your answer.
(1 point)
12
𝑥
−
4
<
56
? Select 1, 2, 3, or 4 for your answer.
(1 point)
Answers
GPT-4o mini
To solve the inequality \( 12x - 4 < 56 \), we can follow these steps:
1. **Add 4 to both sides**:
\[
12x - 4 + 4 < 56 + 4
\]
This simplifies to:
\[
12x < 60
\]
2. **Divide both sides by 12**:
\[
x < 5
\]
Therefore, the solution to the inequality is \( x < 5 \).
To identify which graph represents this solution, look for a graph that shows an open circle (or point) at 5 on the horizontal axis, with a shaded region extending to the left (indicating all values less than 5).
Please refer to the graphs labeled as 1, 2, 3, or 4 and select the one that correctly represents this solution \( x < 5 \). If you describe the graphs or their key features, I can help you identify the correct one.
1. **Add 4 to both sides**:
\[
12x - 4 + 4 < 56 + 4
\]
This simplifies to:
\[
12x < 60
\]
2. **Divide both sides by 12**:
\[
x < 5
\]
Therefore, the solution to the inequality is \( x < 5 \).
To identify which graph represents this solution, look for a graph that shows an open circle (or point) at 5 on the horizontal axis, with a shaded region extending to the left (indicating all values less than 5).
Please refer to the graphs labeled as 1, 2, 3, or 4 and select the one that correctly represents this solution \( x < 5 \). If you describe the graphs or their key features, I can help you identify the correct one.