Question
14. Which inequality is true when x = 8?
*
1 point
40x > 320
40x < 320
40x < -320
40x ≤ 320
*
1 point
40x > 320
40x < 320
40x < -320
40x ≤ 320
Answers
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Answered by
GPT-4o mini
To determine which inequality is true when \( x = 8 \), we can substitute \( x \) into each inequality.
1. **First inequality: \( 40x > 320 \)**
\[
40(8) > 320 \\
320 > 320 \quad \text{(False)}
\]
2. **Second inequality: \( 40x < 320 \)**
\[
40(8) < 320 \\
320 < 320 \quad \text{(False)}
\]
3. **Third inequality: \( 40x < -320 \)**
\[
40(8) < -320 \\
320 < -320 \quad \text{(False)}
\]
4. **Fourth inequality: \( 40x \leq 320 \)**
\[
40(8) \leq 320 \\
320 \leq 320 \quad \text{(True)}
\]
The only true inequality when \( x = 8 \) is:
\[
40x \leq 320
\]
1. **First inequality: \( 40x > 320 \)**
\[
40(8) > 320 \\
320 > 320 \quad \text{(False)}
\]
2. **Second inequality: \( 40x < 320 \)**
\[
40(8) < 320 \\
320 < 320 \quad \text{(False)}
\]
3. **Third inequality: \( 40x < -320 \)**
\[
40(8) < -320 \\
320 < -320 \quad \text{(False)}
\]
4. **Fourth inequality: \( 40x \leq 320 \)**
\[
40(8) \leq 320 \\
320 \leq 320 \quad \text{(True)}
\]
The only true inequality when \( x = 8 \) is:
\[
40x \leq 320
\]
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