To determine which inequality Paolo solved, we need to solve each inequality for \( x \) and see what intervals would be represented on a number line.
A. \( 3.7x > 14.8 \)
Dividing both sides by 3.7: \[ x > \frac{14.8}{3.7} \approx 4 \]
B. \( 2.8x < 10.5 \)
Dividing both sides by 2.8: \[ x < \frac{10.5}{2.8} \approx 3.75 \]
C. \( 2.1x < 8.4 \)
Dividing both sides by 2.1: \[ x < \frac{8.4}{2.1} = 4 \]
D. \( 4.9x > 19.6 \)
Dividing both sides by 4.9: \[ x > \frac{19.6}{4.9} = 4 \]
Now we can summarize the solutions:
- A: \( x > 4 \) (open interval to the right of 4)
- B: \( x < 3.75 \) (open interval to the left of 3.75)
- C: \( x < 4 \) (open interval to the left of 4)
- D: \( x > 4 \) (same as A, open interval to the right of 4)
Without knowing the exact representation of the graph on the number line, it seems that both options A and D give the same solution of \( x > 4 \), while options B and C reflect values less than 4.
If the graphed solution was an open interval that extends to the right of 4, then the correct answers would be either A or D based on how they are commonly expressed.
If I had to give a definitive answer based on this information, it would be:
1 answer