Final answer:
To solve the inequality (5/14)x > (50/77), multiply both sides of the inequality by 14 and simplify.
Step-by-step explanation:
To solve the inequality (5/14)x > (50/77), we can start by multiplying both sides of the inequality by 14 to get rid of the denominator:
- (14) * (5/14)x > (14) * (50/77)
- x > (50/77) * 14/5
- x > 700/385
Now, we can simplify the right side of the inequality:
- x > 1.8182
Therefore, the solution to the inequality is x > 1.8182.