Question

Which inequality does NOT represent thecorrect position of two numbers on a numberline? A 41/2 > 25/4B -41/2 > -25/5C -6 < -5D -1/2 < 1/2

Answer 1

4 1/2 > 25/4 (option A)

Step-by-step explanation:

To determine the inequality not in the correct positin, we will change the fractions to decimals. That way it is easy to compare:

`\begin{gathered} a)\text{ 4}(1)/(2)\text{ > }(25)/(4) \\ \text{4}(1)/(2)\text{ > 6}(1)/(4) \\ 4.5\text{ > 6.25} \\ 4.5\text{ is less than 6.25 not greater than as s}en\text{ in the question} \\ \text{Hence, this is the incorrect one} \end{gathered}`
`\begin{gathered} b)-4(1)/(2)\text{ > }(-25)/(5) \\ -4.5\text{ > -5} \\ \text{For negative numbers, the smaller numbers are greater than the bigger numbers} \\ \text{This is correct} \end{gathered}`
`\begin{gathered} -6\text{ < -5} \\ \text{For negative numbers, the smaller numbers are greater than the bigger numbers} \\ \text{this is correct} \end{gathered}`
`\begin{gathered} d)\text{ }(-1)/(2)\text{ < }(1)/(2) \\ -0.5\text{ < 0.5} \\ \text{Negative numbers are less than positive numbers} \\ \text{This is correct} \end{gathered}`