The numbers that replaces each blank to make the inequality a true statement are 48 and 32. The new inequality is 48/24 > 1/4 > 4/32.
In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
- Less than or equal to (≤).
- Greater than (>).
- Greater than or equal to (≥).
- Less than (<).
Based on the information provided, we can logically deduce the following incomplete inequality;
_/24 > 1/4 > 4/_
In order to make the left-hand side of the inequality true, we must have a number that is greater 1/4 or 0.25;
48/24 = 2
48/24 > 1/4
2 > 0.25 (True)
In order to make the right-hand side of the inequality true, we must have a number that is less than 1/4 or 0.25;
4/32 = 0.125
1/4 > 4/32
0.25 > 0.125 (True).
In conclusion, any number that is greater than 1/4 would make the left-hand side of the inequality true while any number that is less than 1/4 would make the right-hand side of the inequality true.
Complete Question:
Use symbols. Replace each __ with a number to make _/24 >1/4 > 4/_ a true statement.