Asked by Sofia Lewis on May 19, 2024
Verified
Find a true inequality that involves the real number 116\frac { 11 } { 6 }611 .
A) 116<56\frac { 11 } { 6 } < \frac { 5 } { 6 }611<65
B) 116>118\frac { 11 } { 6 } > \frac { 11 } { 8 }611>811
C) 116>176\frac { 11 } { 6 } > \frac { 17 } { 6 }611>617
D) 116<119\frac { 11 } { 6 } < \frac { 11 } { 9 }611<911
E) 116<−176\frac { 11 } { 6 } < - \frac { 17 } { 6 }611<−617
Real Number
A value that represents a quantity along a continuous line, including both rational and irrational numbers.
True Inequality
A true inequality is an inequality statement that accurately describes the relationship between two values or expressions based on the given conditions.
- Establish the converse and the inequality associated with real numbers.
Verified Answer
BM
Basheer MaflahiMay 25, 2024
Final Answer :
B
Explanation :
116\frac { 11 } { 6 }611 is greater than 118\frac { 11 } { 8 }811 because when comparing fractions with the same numerator, the fraction with the smaller denominator is larger.
Learning Objectives
- Establish the converse and the inequality associated with real numbers.
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