Inequalities help us to compare two unequal expressions. The value of x should be equal to 1.
What are inequalities?
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
A.) As per Clark, his statement can be written in the form of inequalities as shown below,
(2/3)/x<(2/3)
(2/3)×(3/2)<x
1<x
Therefore, the value of x should be greater than 1. x=3
B.) As per Hannah, her statement can be written in the form of inequalities as shown below,
(2/3)/x>(2/3)
(2/3)×(3/2)>x
1>x
Therefore, the value of x should be less than 1. x=0
C.) The equation that would show that both Clark and Hannah's claims are incorrect can be stated as,
(2/3)/x=(2/3)
(2/3)×(3/2)=x
1=x
Therefore, the value of x should be equal to 1.
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