To evaluate the truth of the statements, we need to analyze the inequalities and equalities given:
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Negative 1 greater than negative three-fourths
- \(-1 > -\frac{3}{4}\) is false. (On the number line, -1 is to the left of -3/4)
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Negative one-half less than 0
- \(-\frac{1}{2} < 0\) is true. (Negative one-half is less than 0)
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Three-fourths less than negative 1
- \(\frac{3}{4} < -1\) is false. (Positive three-fourths is greater than -1)
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Negative one-fourth = one-fourth
- \(-\frac{1}{4} = \frac{1}{4}\) is false. (Negative one-fourth is not equal to positive one-fourth)
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Negative 1 less than one-fourth
- \(-1 < \frac{1}{4}\) is true. (Negative one is less than positive one-fourth)
The true statements are:
- Negative one-half less than 0
- Negative 1 less than one-fourth