Question

Which inequality is true?

A number line going from negative 1 to 1.
One-half less-than one-third
Three-fourths greater-than two-thirds
Negative one-fourth less-than negative two-thirds
Negative 1 greater-than three-fourths

Answer 1

the person who answered this question is actually correct she just put option c when its actually option d people make mistakes its okay thats how u learn

Step-by-step explanation:

Answer 2

Option C: Three-fourths greater-than two-thirds

Solution:

Option A: A number line going from negative 1 to 1.

Step-by-step explanation: A number line is used to define a point in a given interval. And hence, a number line does not goes from negative 1 to 1.

Thus, this statement is false.

Option B: One-half less-than one-third

Step-by-step explanation: The statement can be written as

`\begin{array}{c}{(1)/(5)<(1)/(3)} \\{0.5<0.33}\end{array}`

which is not possible.

Hence, this inequality is false.

Option C: Three-fourths greater-than two-thirds

Step-by-step explanation: The statement can be written as

`\begin{array}{c}{(3)/(4)>(2)/(3)} \\{0.75>0.667}\end{array}`

which is true.

Hence, this inequality is true.

Option D: Negative one-fourth less-than negative two-thirds

Step-by-step explanation: The statement can be written as

`\begin{aligned}-(1)/(4) &<-(2)/(3) \\-0.25 &<-0.667\end{aligned}`

This is not possible.

Hence, this inequality is false.

Option E: Negative 1 greater-than three-fourths

Step-by-step explanation: The statement can be written as

`\begin{array}{l}{-1>(3)/(4)} \\{-1>0.75}\end{array}`

This is not possible.

Hence, this inequality is false.