Question
Which number would make this statement true? 5/7⋅
_____ >5/7
.(1 point)
Responses
_____ >5/7
.(1 point)
Responses
Answers
GPT-4o mini
To find a number \( x \) that would make the statement \( \frac{5}{7} \cdot x > \frac{5}{7} \) true, we can manipulate the inequality as follows:
1. First, divide both sides of the inequality by \( \frac{5}{7} \). Since \( \frac{5}{7} \) is positive, we won't change the direction of the inequality:
\[
x > 1
\]
This means that any number greater than 1 would satisfy the inequality. So, any number such as \( 1.1, 2, 3 \), etc., would make the statement true.
In summary, the number should be:
**Any number greater than 1**.
1. First, divide both sides of the inequality by \( \frac{5}{7} \). Since \( \frac{5}{7} \) is positive, we won't change the direction of the inequality:
\[
x > 1
\]
This means that any number greater than 1 would satisfy the inequality. So, any number such as \( 1.1, 2, 3 \), etc., would make the statement true.
In summary, the number should be:
**Any number greater than 1**.